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Reversible Framework for Quantum Resource Theories

Brandão, Fernando G. S. L. and Gour, Gilad (2015) Reversible Framework for Quantum Resource Theories. Physical Review Letters, 115 (7). Art. No. 070503. ISSN 0031-9007.

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In recent years it has been recognized that properties of physical systems such as entanglement, athermality, and asymmetry, can be viewed as resources for important tasks in quantum information, thermodynamics, and other areas of physics. This recognition was followed by the development of specific quantum resource theories (QRTs), such as entanglement theory, determining how quantum states that cannot be prepared under certain restrictions may be manipulated and used to circumvent the restrictions. Here we discuss the general structure of QRTs, and show that under a few assumptions (such as convexity of the set of free states), a QRT is asymptotically reversible if its set of allowed operations is maximal, that is, if the allowed operations are the set of all operations that do not generate (asymptotically) a resource. In this case, the asymptotic conversion rate is given in terms of the regularized relative entropy of a resource which is the unique measure or quantifier of the resource in the asymptotic limit of many copies of the state. This measure also equals the smoothed version of the logarithmic robustness of the resource.

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Brandão, Fernando G. S. L.0000-0003-3866-9378
Additional Information:© 2015 American Physical Society. (Received 17 February 2015; published 14 August 2015) F. G. S. L. B. is supported by an EPSRC Early Career Fellowship. G. G.’s research is supported by NSERC. We thank Michal Horodecki, Jonathan Oppenheim, Martin Plenio, and Rob Spekkens for interesting and stimulating discussions.
Errata:Erratum: Reversible Framework for Quantum Resource Theories [Phys. Rev. Lett. 115, 070503 (2015)] Fernando G. S. L. Brandão and Gilad Gour Phys. Rev. Lett. 115, 199901
Funding AgencyGrant Number
Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Issue or Number:7
Classification Code:PACS numbers: 03.67.Mn
Record Number:CaltechAUTHORS:20160607-110307168
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Official Citation:Reversible Framework for Quantum Resource Theories Fernando G. S. L. Brandão and Gilad Gour Phys. Rev. Lett. 115, 070503 – Published 14 August 2015
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67724
Deposited By: George Porter
Deposited On:07 Jun 2016 18:52
Last Modified:03 Oct 2019 10:08

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