2000 character limit reached
General quantum resources provide advantages in work extraction tasks
Published 27 Mar 2024 in quant-ph | (2403.18753v1)
Abstract: We provide a thermodynamic task to certify the general quantum resources of both states and channels via work extraction, showing that general quantum resources provide advantages in work extraction. Such work extraction tasks can be further applied to certify quantum entanglement in a one-sided device-independent way. As an application, we report a novel type of anomalous energy flow -- a type of locally extractable energy that is attributed to the globally distributed entanglement. Finally, we show that the existence of this novel anomalous energy flow is equivalent to measurement incompatibility.
- C. H. Bennett and S. J. Wiesner, Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states, Phys. Rev. Lett. 69, 2881 (1992).
- D. Cavalcanti and P. Skrzypczyk, Quantum steering: a review with focus on semidefinite programming, Rep. Prog. Phys. 80, 024001 (2016).
- C.-Y. Hsieh, R. Uola, and P. Skrzypczyk, Quantum complementarity: A novel resource for unambiguous exclusion and encryption (2023a), arXiv:2309.11968 [quant-ph] .
- D. Rosset, F. Buscemi, and Y.-C. Liang, Resource theory of quantum memories and their faithful verification with minimal assumptions, Phys. Rev. X 8, 021033 (2018).
- L. B. Vieira, H.-Y. Ku, and C. Budroni, Entanglement-breaking channels are a quantum memory resource (2024), arXiv:2402.16789 .
- P. Abiuso, Verification of continuous-variable quantum memories, Quantum Sci. Technol. 9, 01LT02 (2023).
- R. Takagi, K. Wang, and M. Hayashi, Application of the resource theory of channels to communication scenarios, Phys. Rev. Lett. 124, 120502 (2020).
- C.-Y. Hsieh, Resource preservability, Quantum 4, 244 (2020).
- Z.-W. Liu and A. Winter, Resource theories of quantum channels and the universal role of resource erasure (2019), arXiv:1904.04201 [quant-ph] .
- Y. Liu and X. Yuan, Operational resource theory of quantum channels, Phys. Rev. Res. 2, 012035 (2020).
- C.-Y. Hsieh, M. Lostaglio, and A. Acín, Entanglement preserving local thermalization, Phys. Rev. Res. 2, 013379 (2020).
- C.-Y. Hsieh, Quantifying classical information transmission by thermodynamics (2024), arXiv:2201.12110 [quant-ph] .
- B. Stratton, C.-Y. Hsieh, and P. Skrzypczyk, Dynamical resource theory of informational nonequilibrium preservability, Phys. Rev. Lett. 132, 110202 (2024).
- M. Lostaglio, An introductory review of the resource theory approach to thermodynamics, Rep. Prog. Phys. 82, 114001 (2019).
- P. Faist, J. Oppenheim, and R. Renner, Gibbs-preserving maps outperform thermal operations in the quantum regime, New J. Phys. 17, 043003 (2015).
- M. Horodecki, P. Horodecki, and J. Oppenheim, Reversible transformations from pure to mixed states and the unique measure of information, Phys. Rev. A 67, 062104 (2003b).
- E. Chitambar and G. Gour, Quantum resource theories, Rev. Mod. Phys. 91, 025001 (2019).
- R. Takagi and B. Regula, General resource theories in quantum mechanics and beyond: Operational characterization via discrimination tasks, Phys. Rev. X 9, 031053 (2019).
- P. Skrzypczyk, I. Šupić, and D. Cavalcanti, All sets of incompatible measurements give an advantage in quantum state discrimination, Phys. Rev. Lett. 122, 130403 (2019).
- C.-Y. Hsieh, M. Lostaglio, and A. Acín, Quantum channel marginal problem, Phys. Rev. Res. 4, 013249 (2022b).
- A. F. Ducuara and P. Skrzypczyk, Operational interpretation of weight-based resource quantifiers in convex quantum resource theories, Phys. Rev. Lett. 125, 110401 (2020).
- K. C. Tan, V. Narasimhachar, and B. Regula, Fisher information universally identifies quantum resources, Phys. Rev. Lett. 127, 200402 (2021).
- R. Kosloff and T. Feldmann, Discrete four-stroke quantum heat engine exploring the origin of friction, Phys. Rev. E 65, 055102 (2002).
- T. Feldmann and R. Kosloff, Quantum lubrication: Suppression of friction in a first-principles four-stroke heat engine, Phys. Rev. E 73, 025107 (2006).
- K. Beyer, K. Luoma, and W. T. Strunz, Steering heat engines: A truly quantum maxwell demon, Phys. Rev. Lett. 123, 250606 (2019).
- M. Lostaglio, Certifying quantum signatures in thermodynamics and metrology via contextuality of quantum linear response, Phys. Rev. Lett. 125, 230603 (2020).
- A. Levy and M. Lostaglio, Quasiprobability distribution for heat fluctuations in the quantum regime, PRX Quantum 1, 010309 (2020).
- S. Puliyil, M. Banik, and M. Alimuddin, Thermodynamic signatures of genuinely multipartite entanglement, Phys. Rev. Lett. 129, 070601 (2022).
- F. Centrone and M. Gessner, Breaking local quantum speed limits with steering (2024), arXiv:2401.04599 .
- P. Lipka-Bartosik, G. F. Diotallevi, and P. Bakhshinezhad, Fundamental limits on anomalous energy flows in correlated quantum systems (2023), arXiv:2307.03828 [quant-ph] .
- D. Jennings and T. Rudolph, Entanglement and the thermodynamic arrow of time, Phys. Rev. E 81, 061130 (2010).
- P. Skrzypczyk, A. J. Short, and S. Popescu, Work extraction and thermodynamics for individual quantum systems, Nat. Commun. 5, 4185 (2014).
- N. Shiraishi and R. Takagi, Alchemy of quantum coherence: Arbitrary amplification in asymptotic and catalytic coherence manipulation (2023), arXiv:2308.12338 [quant-ph] .
- C.-Y. Hsieh and S.-L. Chen, A thermodynamic approach to quantifying incompatible instruments (2024), arXiv:2402.13080 [quant-ph] .
- A. Einstein, B. Podolsky, and N. Rosen, Can quantum-mechanical description of physical reality be considered complete?, Phys. Rev. 47, 777 (1935).
- E. Schrödinger, Discussion of probability relations between separated systems, Proc. Cambridge Philos. Soc. 31, 555 (1935).
- E. Schrödinger, Probability relations between separated systems, Proc. Cambridge Philos. Soc. 32, 446 (1936).
- E. H. T. Heinosaari and J.-P. Pellonpää, When do pieces determine the whole? extreme marginals of a completely positive map, Rev. Math. Phys. 26, 1450002 (2014).
- M. Girard, M. Plávala, and J. Sikora, Jordan products of quantum channels and their compatibility, Nat. Commun. 12, 2129 (2021).
- P. D. Johnson and L. Viola, On state versus channel quantum extension problems: exact results for U⊗U⊗Utensor-product𝑈𝑈𝑈{U}\otimes{U}\otimes{U}italic_U ⊗ italic_U ⊗ italic_U symmetry, J. Phys. A: Math. Theor. 48, 035307 (2015).
- E. Haapasalo, Robustness of incompatibility for quantum devices, J. Phys. A: Math. Theor. 48, 255303 (2015).
- C. Carmeli, T. Heinosaari, and A. Toigo, Quantum incompatibility witnesses, Phys. Rev. Lett. 122, 130402 (2019a).
- ℰA→B,ℰA→Csubscriptℰ→𝐴𝐵subscriptℰ→𝐴𝐶\mathcal{E}_{A\to B},\mathcal{E}_{A\to C}caligraphic_E start_POSTSUBSCRIPT italic_A → italic_B end_POSTSUBSCRIPT , caligraphic_E start_POSTSUBSCRIPT italic_A → italic_C end_POSTSUBSCRIPT are broadcast compatible if there exists a channel 𝒩A→BCsubscript𝒩→𝐴𝐵𝐶\mathcal{N}_{A\to BC}caligraphic_N start_POSTSUBSCRIPT italic_A → italic_B italic_C end_POSTSUBSCRIPT such that ℰA→B=trC∘𝒩A→BCsubscriptℰ→𝐴𝐵subscripttr𝐶subscript𝒩→𝐴𝐵𝐶\mathcal{E}_{A\to B}={\rm tr}_{C}\circ\mathcal{N}_{A\to BC}caligraphic_E start_POSTSUBSCRIPT italic_A → italic_B end_POSTSUBSCRIPT = roman_tr start_POSTSUBSCRIPT italic_C end_POSTSUBSCRIPT ∘ caligraphic_N start_POSTSUBSCRIPT italic_A → italic_B italic_C end_POSTSUBSCRIPT and ℰA→C=trB∘𝒩A→BCsubscriptℰ→𝐴𝐶subscripttr𝐵subscript𝒩→𝐴𝐵𝐶\mathcal{E}_{A\to C}={\rm tr}_{B}\circ\mathcal{N}_{A\to BC}caligraphic_E start_POSTSUBSCRIPT italic_A → italic_C end_POSTSUBSCRIPT = roman_tr start_POSTSUBSCRIPT italic_B end_POSTSUBSCRIPT ∘ caligraphic_N start_POSTSUBSCRIPT italic_A → italic_B italic_C end_POSTSUBSCRIPT.
- J. Mori, Operational characterization of incompatibility of quantum channels with quantum state discrimination, Phys. Rev. A 101, 032331 (2020).
- M. F. Pusey, Negativity and steering: A stronger peres conjecture, Phys. Rev. A 88, 032313 (2013).
- M. Piani and J. Watrous, Necessary and sufficient quantum information characterization of einstein-podolsky-rosen steering, Phys. Rev. Lett. 114, 060404 (2015a).
- R. Gallego and L. Aolita, Resource theory of steering, Phys. Rev. X 5, 041008 (2015).
- M. D. Reid, Demonstration of the einstein-podolsky-rosen paradox using nondegenerate parametric amplification, Phys. Rev. A 40, 913 (1989).
- B. Yadin, M. Fadel, and M. Gessner, Metrological complementarity reveals the Einstein-Podolsky-Rosen paradox, Nat. Commun. 12, 2410 (2021).
- M. Piani and J. Watrous, Necessary and sufficient quantum information characterization of Einstein-Podolsky-Rosen steering, Phys. Rev. Lett. 114, 060404 (2015b).
- M. T. Quintino, N. Brunner, and M. Huber, Superactivation of quantum steering, Phys. Rev. A 94, 062123 (2016).
- A. F. Ducuara and P. Skrzypczyk, Fundamental connections between utility theories of wealth and information theory (2023), arXiv:2306.07975 .
- A. F. Ducuara and P. Skrzypczyk, Characterization of quantum betting tasks in terms of Arimoto mutual information, PRX Quantum 3, 020366 (2022).
- H.-Y. Ku, C.-Y. Hsieh, and C. Budroni, Measurement incompatibility cannot be stochastically distilled (2023), arXiv:2308.02252 .
- C.-Y. Hsieh, H.-Y. Ku, and C. Budroni, Characterisation and fundamental limitations of irreversible stochastic steering distillation (2023b), arXiv:2309.06191 .
- R. Uola, T. Kraft, and A. A. Abbott, Quantification of quantum dynamics with input-output games, Phys. Rev. A 101, 052306 (2020c).
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
