Work cost of thermal operations in quantum thermodynamics
Institute for Theoretical Physics, ETH Zurich, 8093, Zurich, Switzerland
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Revised: 8 June 2014
Accepted: 11 June 2014
Published online: 24 July 2014
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)).
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014