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Resource Theory of Quantum States Out of Thermal Equilibrium

Brandão, Fernando G. S. L. and Horodecki, Michał and Oppenheim, Jonathan and Renes, Joseph M. and Spekkens, Robert W. (2013) Resource Theory of Quantum States Out of Thermal Equilibrium. Physical Review Letters, 111 (25). Art. No. 250404. ISSN 0031-9007. doi:10.1103/PhysRevLett.111.250404.

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The ideas of thermodynamics have proved fruitful in the setting of quantum information theory, in particular the notion that when the allowed transformations of a system are restricted, certain states of the system become useful resources with which one can prepare previously inaccessible states. The theory of entanglement is perhaps the best-known and most well-understood resource theory in this sense. Here, we return to the basic questions of thermodynamics using the formalism of resource theories developed in quantum information theory and show that the free energy of thermodynamics emerges naturally from the resource theory of energy-preserving transformations. Specifically, the free energy quantifies the amount of useful work which can be extracted from asymptotically many copies of a quantum system when using only reversible energy-preserving transformations and a thermal bath at fixed temperature. The free energy also quantifies the rate at which resource states can be reversibly interconverted asymptotically, provided that a sublinear amount of coherent superposition over energy levels is available, a situation analogous to the sublinear amount of classical communication required for entanglement dilution.

Item Type:Article
Related URLs:
URLURL TypeDescription Material
Brandão, Fernando G. S. L.0000-0003-3866-9378
Oppenheim, Jonathan0000-0002-8993-412X
Additional Information:© 2013 American Physical Society. (Received 17 August 2012; revised manuscript received 12 March 2013; published 18 December 2013) We thank Jochen Rau and Dominik Janzing for helpful conversations. J. M. R. acknowledges support from the Center for Advanced Security Research Darmstadt (CASED). R. W. S. acknowledges support from the Government of Canada through NSERC and the Province of Ontario through MRI. M. H. is grateful for the support of the Foundation for Polish Science TEAM project cofinanced by the EU European Regional Development Fund. Part of this work was done at the National Quantum Information Centre of Gdansk. The authors acknowledge the hospitality of the Institute Mittag Leffler within the program Quantum Information Science (2010), where part of this work was done.
Funding AgencyGrant Number
Center for Advanced Security Research Darmstadt (CASED)UNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Ontario Ministry of Research and InnovationUNSPECIFIED
Ministerstwo Nauki i Szkolnictwa Wyższego (MNiSW)UNSPECIFIED
European Regional Development FundUNSPECIFIED
Issue or Number:25
Classification Code:PACS numbers: 05.30.-d, 03.67.Bg, 03.67.Mn, 05.70.-a
Record Number:CaltechAUTHORS:20160607-104504897
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Official Citation:Resource Theory of Quantum States Out of Thermal Equilibrium Fernando G. S. L. Brandão, Michał Horodecki, Jonathan Oppenheim, Joseph M. Renes, and Robert W. Spekkens Phys. Rev. Lett. 111, 250404
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67722
Deposited By: George Porter
Deposited On:07 Jun 2016 18:11
Last Modified:11 Nov 2021 03:53

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