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arXiv · 2209.02527

What is the most general class of quasiprobabilities of work?

Gianluca Francica
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Abstract

How to give a statistical description of thermodynamics in quantum systems is an open fundamental question. Concerning the work, the presence of initial quantum coherence in the energy basis can give rise to a quasiprobability of work, which can take negative values. Our aim is to identify the most general quasiprobability of work satisfying some fundamental conditions. By doing so, we introduce a general notion of quasiprobability in analogy to the Gleason's theorem. Then, we use these quasiprobabilities to define the quasiprobability of work, and finally we discuss the contextuality of the protocol.

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Gianluca Francica. 2022-09-06. What is the most general class of quasiprobabilities of work?. https://doi.org/10.1103/physreve.106.054129

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