Work cost of thermal operations in quantum thermodynamics
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Date
2014-07-24
Publication Type
Journal Article
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yes
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Abstract
Adopting a resource theory framework of thermodynamics for quantum and nano systems pioneered by Janzing et al. (Int. J. Th. Phys. 39, 2717 (2000)), we formulate the cost in the useful work of transforming one resource state into another as a linear program of convex optimization. This approach is based on the characterization of thermal quasiorder given by Janzing et al. and later by Horodecki and Oppenheim (Nat. Comm. 4, 2059 (2013)). Both characterizations are related to an extended version of majorization studied by Ruch, Schranner and Seligman under the name mixing distance (J. Chem. Phys. 69, 386 (1978)).
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published
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Journal / series
Volume
129 (7)
Pages / Article No.
153
Publisher
Springer
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Subject
Convex Optimization; Resource State; Lorenz curve; Gibbs State; Resource theory
Organisational unit
03781 - Renner, Renato / Renner, Renato
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.
Funding
135048 - Information-theoretic methods for physics (SNF)
258932 - Generalized (quantum) information theory (EC)
258932 - Generalized (quantum) information theory (EC)