2000 character limit reached
Entanglement generation from athermality
Published 7 Mar 2024 in quant-ph | (2403.04842v1)
Abstract: We investigate the thermodynamic constraints on the pivotal task of entanglement generation using out-of-equilibrium states through a model-independent framework with minimal assumptions. We establish a necessary and sufficient condition for a thermal process to generate bipartite qubit entanglement, starting from an initially separable state. Consequently, we identify the set of system states that cannot be entangled, when no external work is invested. In the regime of infinite temperature, we analytically construct this set; while for finite temperature, we provide a simple criterion to verify whether any given initial state is or is not entanglable. Furthermore, we provide an explicit construction of the future thermal cone of entanglement - the set of entangled states that a given separable state can thermodynamically evolve to. We offer a detailed discussion on the properties of this cone, focusing on the interplay between entanglement and its volumetric properties. We conclude with several key remarks on the generation of entanglement beyond two-qubit systems, and discuss its dynamics in the presence of dissipation.
- R. Kosloff, Quantum thermodynamics: A dynamical viewpoint, Entropy 15, 2100 (2013).
- S. Vinjanampathy and J. Anders, Quantum thermodynamics, Contemporary Physics 57, 545 (2016).
- S. Deffner and S. Campbell, Quantum Thermodynamics: An introduction to the thermodynamics of quantum information (Morgan & Claypool Publishers, 2019).
- R. Alicki and M. Fannes, Entanglement boost for extractable work from ensembles of quantum batteries, Phys. Rev. E 87, 042123 (2013).
- F. Verstraete, K. Audenaert, and B. De Moor, Maximally entangled mixed states of two qubits, Phys. Rev. A 64, 012316 (2001).
- N. Friis, M. Huber, and M. Perarnau-Llobet, Energetics of correlations in interacting systems, Phys. Rev. E 93, 042135 (2016).
- S. Ishizaka and T. Hiroshima, Maximally entangled mixed states under nonlocal unitary operations in two qubits, Phys. Rev. A 62, 022310 (2000).
- M. B. Plenio and S. F. Huelga, Entangled light from white noise, Phys. Rev. Lett. 88, 197901 (2002).
- L. Hartmann, W. Dür, and H.-J. Briegel, Steady-state entanglement in open and noisy quantum systems, Phys. Rev. A 74, 052304 (2006).
- B. Bellomo and M. Antezza, Steady entanglement out of thermal equilibrium, Europhysics Letters 104, 10006 (2013).
- M. Horodecki and J. Oppenheim, (quantumness in the context of) resource theories, Int. J. Mod. Phys. B 27, 1345019 (2013).
- M. Lostaglio, An introductory review of the resource theory approach to thermodynamics, Rep. Prog. Phys. 82, 114001 (2019a).
- J. Czartowski, A. de Oliveira Junior, and K. Korzekwa, Thermal recall: Memory-assisted markovian thermal processes, PRX Quantum 4, 040304 (2023).
- J. Son and N. H. Y. Ng, A hierarchy of thermal processes collapses under catalysis, arXiv:2303.13020 (2023).
- Á. M. Alhambra, M. Lostaglio, and C. Perry, Heat-bath algorithmic cooling with optimal thermalization strategies, Quantum 3, 188 (2019).
- M. Lostaglio, An introductory review of the resource theory approach to thermodynamics, Rep. Prog. Phys 82, 114001 (2019b).
- G. Torun, O. Pusuluk, and Ö. E. Müstecaplıoğlu, A compendious review of majorization-based resource theories: quantum information and quantum thermodynamics, Turk. J. Phys 47, 141 (2023).
- M. Horodecki and J. Oppenheim, Fundamental limitations for quantum and nanoscale thermodynamics, Nat. Commun. 4, 2059 (2013).
- E. T. Jaynes and F. W. Cummings, Comparison of quantum and semiclassical radiation theories with application to the beam maser, Proc. IEEE 51, 89 (1963).
- J. I. Cirac and P. Zoller, Preparation of macroscopic superpositions in many-atom systems, Phys. Rev. A 50, R2799 (1994).
- G. Vidal and R. F. Werner, Computable measure of entanglement, Phys. Rev. A 65, 032314 (2002).
- K. Korzekwa, Structure of the thermodynamic arrow of time in classical and quantum theories, Phys. Rev. A 95, 052318 (2017).
- M. Lostaglio, Á. M. Alhambra, and C. Perry, Elementary Thermal Operations, Quantum 2, 52 (2018).
- A. Peres, Separability criterion for density matrices, Phys. Rev. Lett. 77, 1413 (1996).
- M. Horodecki, P. Horodecki, and R. Horodecki, Separability of mixed states: necessary and sufficient conditions, Phys. Lett. A 223, 1 (1996).
- M. Horodecki, P. Horodecki, and R. Horodecki, Mixed-state entanglement and distillation: Is there a “bound” entanglement in nature?, Phys. Rev. Lett. 80, 5239 (1998).
- L. Chen, Y. Yang, and W.-S. Tang, Schmidt number of bipartite and multipartite states under local projections, Quantum Inf Process 16, 1 (2017).
- A. Kossakowski, On quantum statistical mechanics of non-hamiltonian systems, Rep. Math. Phys. 3, 247 (1972).
- V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, Completely positive dynamical semigroups of n-level systems, J. Math. Phys. 17, 821 (1976).
- G. Lindblad, On the generators of quantum dynamical semigroups, Commun. Math. Phys. 48, 119 (1976).
- M. Lostaglio and K. Korzekwa, Continuous thermomajorization and a complete set of laws for Markovian thermal processes, Phys. Rev. A 106, 012426 (2022).
- W. Dür, G. Vidal, and J. I. Cirac, Three qubits can be entangled in two inequivalent ways, Phys. Rev. A 62, 062314 (2000).
- M. Gaida and M. Kleinmann, Seven definitions of bipartite bound entanglement, Journal of Physics A: Mathematical and Theoretical 56, 385302 (2023).
- V. Coffman, J. Kundu, and W. K. Wootters, Distributed entanglement, Phys. Rev. A 61, 052306 (2000).
- P. Lipka-Bartosik, H. Wilming, and N. H. Y. Ng, Catalysis in quantum information theory, arXiv:2306.0079 (2023a).
- P. Lipka-Bartosik, G. F. Diotallevi, and P. Bakhshinezhad, Fundamental limits on anomalous energy flows in correlated quantum systems, arXiv:2307.03828 (2023b).
- J. Czartowski and A. de Oliveira Junior, We can catalyse it for you thermally: Catalytic transformations for thermal operations, arXiv:2403.XXXXX (2024).
- U. Andersen, G. Leuchs, and C. Silberhorn, Continuous-variable quantum information processing, Laser Photonics Rev 4, 337 (2010).
- B. Longstaff, M. G. Jabbour, and J. B. Brask, Impossibility of bosonic autonomous entanglement engines in the weak-coupling limit, Phys. Rev. A 108, 032209 (2023).
- P. Mazurek and M. Horodecki, Decomposability and convex structure of thermal processes, New J. Phys. 20, 053040 (2018).
- P. Mazurek, Thermal processes and state achievability, Phys. Rev. A 99, 042110 (2019).
- J. Son and N. H. Y. Ng, Catalysis in action via elementary thermal operations, New Journal of Physics (2024).
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