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arXiv · 1402.3496

Work Cost of Thermal Operations in Quantum and Nano Thermodynamics

Joseph M. Renes
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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 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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Joseph M. Renes. 2014-02-14. Work Cost of Thermal Operations in Quantum and Nano Thermodynamics. https://doi.org/10.1140/epjp/i2014-14153-8

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