Journal
PHYSICAL REVIEW LETTERS
Volume 117, Issue 26, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.117.260601
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Funding
- Swiss National Science Foundation (SNSF) [200021_153296]
- Swiss National Science Foundation (SNSF) via NCCR QSIT
- European Research Council (ERC) [258932]
- COST Action [MP1209]
- Swiss National Science Foundation (SNF) [200021_153296] Funding Source: Swiss National Science Foundation (SNF)
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Thermodynamic entropy, as defined by Clausius, characterizes macroscopic observations of a system based on phenomenological quantities such as temperature and heat. In contrast, information-theoretic entropy, introduced by Shannon, is a measure of uncertainty. In this Letter, we connect these two notions of entropy, using an axiomatic framework for thermodynamics [E.H. Lieb and J. Yngvason Proc. R. Soc. 469, 20130408 (2013)]. In particular, we obtain a direct relation between the Clausius entropy and the Shannon entropy, or its generalization to quantum systems, the von Neumann entropy. More generally, we find that entropy measures relevant in nonequilibrium thermodynamics correspond to entropies used in one-shot information theory.
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