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Quantum Entropy Derived from First Principles

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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.

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Acknowledgments

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.

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  1. Tohoku University, Sendai, Miyagi, Japan

    Frank Hansen

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  1. Frank Hansen
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Correspondence to Frank Hansen.

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Hansen, F. Quantum Entropy Derived from First Principles. J Stat Phys 165, 799–808 (2016). https://doi.org/10.1007/s10955-016-1651-4

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  • DOI: https://doi.org/10.1007/s10955-016-1651-4

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