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Optimal remote restoring of quantum states in communication lines via local magnetic field (2401.09569v1)
Published 17 Jan 2024 in quant-ph
Abstract: Optimal state transport across spin chains, which are proposed as quantum wires for information transfer in solid state quantum architectures, is an important topic for quantum technologies. In this work, we study {the remote restoring of a quantum state transferred along a spin chain.} The structural state-restoring technique provides proportionality between the appropriate elements of the density matrices of the initial sender state and receiver state at some time instant. We develop a {remote} state-restoring protocol which uses an inhomogeneous magnetic field with step-wise time-dependent Larmor frequencies as the state-control tool. For simulating the multiparametric Hamiltonian we use two approximating models. First model is based on the Trotter-Suzuki method, while the second model is based on using short pulses of high intensity. In both cases we estimate the accuracy of the approximation and find the optimal restoring parameters (Larmor frequencies) of the protocol which maximize the coefficients in the proportionality for spin chains of various lengths.
- Acín A, Bloch I, Buhrman H, Calarco T, Eichler C, Eisert J, Esteve D, Gisin N, Glaser S J, Jelezko F, Kuhr S, Lewenstein M, Riedel M F, Schmidt P O, Thew R, Wallraff A, Walmsley I and Wilhelm F K 2018 New J. Phys. , 20(8) 080201 (5) Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895 (6) Bouwmeester D, Pan J-W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575. (7) Boschi D, Branca S, De Martini F, Hardy L and Popescu S 1998 Phys. Rev. Lett. 80 1121 (8) Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895 (6) Bouwmeester D, Pan J-W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575. (7) Boschi D, Branca S, De Martini F, Hardy L and Popescu S 1998 Phys. Rev. Lett. 80 1121 (8) Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bouwmeester D, Pan J-W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575. (7) Boschi D, Branca S, De Martini F, Hardy L and Popescu S 1998 Phys. Rev. Lett. 80 1121 (8) Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Boschi D, Branca S, De Martini F, Hardy L and Popescu S 1998 Phys. Rev. Lett. 80 1121 (8) Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. 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Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. 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Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. 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Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bouwmeester D, Pan J-W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575. (7) Boschi D, Branca S, De Martini F, Hardy L and Popescu S 1998 Phys. Rev. Lett. 80 1121 (8) Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Boschi D, Branca S, De Martini F, Hardy L and Popescu S 1998 Phys. Rev. Lett. 80 1121 (8) Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Boschi D, Branca S, De Martini F, Hardy L and Popescu S 1998 Phys. Rev. Lett. 80 1121 (8) Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. 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Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. 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Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. 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A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bose S 2003 Phys. Rev. Lett. 91 207901 (9) Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. 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Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. 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Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. 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Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Christandl M, Datta N, Ekert A and Landahl A J 2004 Phys.Rev.Lett. 92 187902 (10) Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. 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Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. 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Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. 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Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. 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Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Karbach P and Stolze J 2005 Phys.Rev. A 72 030301(R) (11) Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Kostak V, Marzoli I and Tombesi P 2008 Phys.Rev. A 78 022325 (12) Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Gualdi G, Marzoli I, Tombesi P 2009 New J. Phys. 11 063038 (13) Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. 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Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. 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Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. 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Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. 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Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. 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Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J, Osenda O 2011 Phys. Rev. A 84 022311 (14) Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Zwick A, Álvarez G A, Stolze J and Osenda O, 2012 Phys. Rev. A 85 012318 (15) Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. 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Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Zenchuk A I 2012 J. Phys. A: Math. Theor. 45(11) 115306 (16) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Phys. Rev. Lett. 94 150502 (17) Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. 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Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. 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Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peters N A, Barreiro J T, Goggin M E, Wei T-C and Kwiat P G 2005 Remote state preparation: arbitrary remote control of photon polarizations for quantum communication (Quantum Communications and Quantum Imaging III, in: Proc. of SPIE, vol. 5893) eds Meyers R E, Shih Ya, (SPIE, Bellingham, WA) (18) Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. 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Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. 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Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. 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Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Dakic B, Lipp Ya O, Ma X, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner C and Walther P 2012 Nat. Phys. 8 666 (19) Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Pouyandeh S, Shahbazi F and Bayat A 2014 Phys. Rev. A 90 012337 (20) Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Liu L L and Hwang T 2014 Quantum Inf. Process. 13 1639 (21) Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Zenchuk A I 2014 Phys. Rev. A 90 052302 (22) Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Bochkin G A and Zenchuk A I 2015 Phys. Rev. A 91 062326 (23) Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D, Wilhelm F K 2022 EPJ Quantum Technol. 9(1) 19 (24) Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Osborne T J and Linden N 2004 Phys. Rev. A 69 052315 (25) Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schirmer S G and Pemberton-Ross P J 2009 Phys. Rev. A 80(3) 030301 (26) Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S 2015 Phys. Rev. A 92 062305 (27) Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Murphy M, Montangero S, Giovannetti V and Calarco T 2010 Phys. Rev. A 82(2) 022318 (28) Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. 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Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. 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Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. 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Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ashhab S, De Groot P C and Nori F 2012 Phys. Rev. A 85 052327 (29) Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. 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Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. 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Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Acosta Coden D S, Gómez S S, Ferrón A and Osenda O 2021 Phys. Lett. A 387 127009 (30) Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morigi G, Eschner J, Cormick C, Lin Y, Leibfried D, Wineland D J 2015 Phys. Rev. Lett. 115(20) 200502 (31) Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. 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Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Mohiyaddin F A, Kalra R, Laucht A, Rahman R, Klimeck G, Morello A 2016 Phys. Rev. B 94(4) 045314 (32) Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. 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Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Aubourg L and Viennot D 2016 J. Phys. B: At. Mol. Opt. Phys. 49(11) 115501 (33) Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Shan H J, Dai C M, Shen H Z, Yi X. X. 2018 Sci Rep 8(1) 13565 (34) Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pyshkin P V, Sherman E Y, You J Q and Wu L-A 2018 New J. Phys. 20(10) 105006 (35) Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. 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Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Ferrón A, Serra P and Osenda O. 2022 Phys. Scr. 97(11) 115103 (36) Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Taminiau T H, Cramer J, Van Der Sar T, Dobrovitski V V and Hanson R 2014 Nature Nanotech. 9(3) 171 (37) Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. 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Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Peng P, Yin C, Huang X, Ramanathan C and Cappellaro P 2021 Nat. Phys. 17(4) 444 (38) Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Uysal M T, Raha M, Chen S, Phenicie C M, Ourari S, Wang M, Van De Walle C G, Dobrovitski V V and Thompson J D 2023 PRX Quantum 4(1) 010323 (39) Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Kuprov I 2023 Spin: From Basic Symmetries to Quantum Optimal Control (Springer) (40) Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Fel’dman E B and Zenchuk A I 2017 JETP 125(6) 1042 (41) Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Bochkin G A, Fel’dman E B and Zenchuk A I 2018 Quant.Inf.Proc. 17 218 (42) Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Zenchuk A I 2018 Phys.Lett. A 382 324 (43) Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Fel’dman E B, Pechen A N and Zenchuk A I 2021 Phys. Let. A 413 127605 (44) Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Bochkin G A, Fel’dman E B, Lazarev I D, Pechen A N and Zenchuk A I 2022 Quant. Inf. Proc. 21 261 (45) Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge:Cambridge Univ. Press.) p 676 (46) Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Petruhanov V and Pechen A 2023 J. Phys. A: Math. Theor. 56 305303 (47) Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Morzhin O and Pechen A 2023 Quant. Inf. Proc. 22 241 (48) Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Trotter H F 1959 Proc. Amer. Math. Soc. 10(4) 545 (49) Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Suzuki M 1976 Commun. Math. Phys. 51(2) 183 (50) Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Baum J, Munowitz M, Garroway A N and Pines A 1985 J. Chem. Phys. 83 2015 (51) Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 Journal of Magnetic Resonance 172(2) 296 (52) Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Schulte-Herbrüggen T, Spörl A, Khaneja N, Glaser S J 2011 J. Phys. B: At. Mol. Opt. Phys. 44(15) 154013 (53) De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- De Fouquieres P, Schirmer S G, Glaser S J, Kuprov I 2011 J. Magn. Res. 212(2) 412 (54) Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Pechen A N and Tannor D J 2012 Israel Journal of Chemistry 52 467 (55) Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Lucarelli D 2018 Phys. Rev. A 97(6) 062346 (56) Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Volkov B O, Morzhin O V and Pechen A N 2021 J. Phys. A: Math. Theor. 54 215303 (57) Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer Berlin Heidelberg) (58) Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Lieb E, Schultz T and Mattis D 1961 Annals of Physics 16(3) 407 (59) Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Porras D and Cirac J I 2004 Phys. Rev. Lett. 92(20) 207901 (60) Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Maik M, Hauke P, Dutta O, Zakrzewski J and Lewenstein M 2012 New J. Phys. 14(11) 113006 (61) Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Pereira D and Mueller E J 2022 Phys. Rev. A 106 043306 (62) Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Iglói F, Blass B, Roósz G. and Rieger H 2018 Phys. Rev. B 98 184415 (63) Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph] Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
- Tashkeev N A and Zenchuk A I 2023 Remote restoring of (0,1)-excitation states and concurrence scaling arXiv:2310.04526 [quant-ph]
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