Axiomatic Relation between Thermodynamic and Information-Theoretic Entropies
| Autor: | Mirjam Weilenmann, Philippe Faist, Renato Renner, Lea Kraemer |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Quantum Physics
Information theory Statistical Mechanics (cond-mat.stat-mech) Entropy Configuration entropy Maximum entropy thermodynamics General Physics and Astronomy Min entropy Thermodynamics FOS: Physical sciences Von Neumann entropy Quantum thermodynamics Entropy in thermodynamics and information theory 01 natural sciences Quantum relative entropy 010305 fluids & plasmas Rényi entropy 0103 physical sciences Statistical physics 010306 general physics Quantum Physics (quant-ph) Joint quantum entropy Condensed Matter - Statistical Mechanics Mathematics |
| Zdroj: | Physical Review Letters, 117 (26) |
| ISSN: | 1079-7114 0031-9007 |
| Popis: | 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. Physical Review Letters, 117 (26) ISSN:0031-9007 ISSN:1079-7114 |
| Databáze: | OpenAIRE |
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