Most energetic passive states

Martí Perarnau-Llobet, Karen V. Hovhannisyan, Marcus Huber, Paul Skrzypczyk, Jordi Tura, and Antonio Acín
Phys. Rev. E 92, 042147 – Published 22 October 2015

Abstract

Passive states are defined as those states that do not allow for work extraction in a cyclic (unitary) process. Within the set of passive states, thermal states are the most stable ones: they maximize the entropy for a given energy, and similarly they minimize the energy for a given entropy. Here we find the passive states lying in the other extreme, i.e., those that maximize the energy for a given entropy, which we show also minimize the entropy when the energy is fixed. These extremal properties make these states useful to obtain fundamental bounds for the thermodynamics of finite-dimensional quantum systems, which we show in several scenarios.

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  • Received 14 March 2015
  • Revised 21 July 2015

DOI:https://doi.org/10.1103/PhysRevE.92.042147

©2015 American Physical Society

Authors & Affiliations

Martí Perarnau-Llobet1, Karen V. Hovhannisyan1, Marcus Huber2,1, Paul Skrzypczyk3,1, Jordi Tura1, and Antonio Acín1,4

  • 1ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain
  • 2Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain
  • 3H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, United Kingdom
  • 4ICREA-Institució Catalana de Recerca i Estudis Avançats, Lluis Companys 23, 08010 Barcelona, Spain

See Also

Extractable Work from Correlations

Martí Perarnau-Llobet, Karen V. Hovhannisyan, Marcus Huber, Paul Skrzypczyk, Nicolas Brunner, and Antonio Acín
Phys. Rev. X 5, 041011 (2015)

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Issue

Vol. 92, Iss. 4 — October 2015

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