Quantum Entropy Derived from First Principles

Frank Hansen

doi:10.1007/s10955-016-1651-4

Quantum Entropy Derived from First Principles

Frank Hansen

Division of Developmental Research in Education Programs

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The most fundamental properties of quantum entropy are derived by considering the union of two ensembles. We discuss the limits these properties put on an entropy measure and obtain that they uniquely determine the form of the entropy functional up to normalisation. In particular, the result implies that all other properties of quantum entropy may be derived from these first principles.

Original language	English
Pages (from-to)	799-808
Number of pages	10
Journal	Journal of Statistical Physics
Volume	165
Issue number	5
DOIs	https://doi.org/10.1007/s10955-016-1651-4
Publication status	Published - 2016 Dec 1

Keywords

Entropic function
First principles
Quantum entropy

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-016-1651-4

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abstract = "The most fundamental properties of quantum entropy are derived by considering the union of two ensembles. We discuss the limits these properties put on an entropy measure and obtain that they uniquely determine the form of the entropy functional up to normalisation. In particular, the result implies that all other properties of quantum entropy may be derived from these first principles.",

keywords = "Entropic function, First principles, Quantum entropy",

author = "Frank Hansen",

note = "Funding Information: It is a pleasure to thank Bernhard Baumgartner and the anonymous referees for encouragement and for valuable suggestions. The author also acknowledges support from the Japanese government Grant-in-Aid for scientific research 26400104. Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media New York.",

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N2 - The most fundamental properties of quantum entropy are derived by considering the union of two ensembles. We discuss the limits these properties put on an entropy measure and obtain that they uniquely determine the form of the entropy functional up to normalisation. In particular, the result implies that all other properties of quantum entropy may be derived from these first principles.

AB - The most fundamental properties of quantum entropy are derived by considering the union of two ensembles. We discuss the limits these properties put on an entropy measure and obtain that they uniquely determine the form of the entropy functional up to normalisation. In particular, the result implies that all other properties of quantum entropy may be derived from these first principles.

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KW - First principles

KW - Quantum entropy

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ER -

Quantum Entropy Derived from First Principles

Abstract

Keywords

ASJC Scopus subject areas

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