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The Wigner-Yanase Entropy is not Subadditive

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Abstract

Wigner and Yanase introduced in 1963 the Wigner-Yanase entropy defined as minus the skew information of a state with respect to a conserved observable. They proved that the Wigner-Yanase entropy is a concave function in the state and conjectured that it is subadditive with respect to the aggregation of possibly interacting subsystems. While this turned out to be true for the quantum-mechanical entropy, we negate the conjecture for the Wigner-Yanase entropy by providing a counter example.

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Authors and Affiliations

  1. Department of Economics, University of Copenhagen, Studiestraede 6, DK-1455, Copenhagen K, Denmark

    Frank Hansen

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  1. Frank Hansen
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Hansen, F. The Wigner-Yanase Entropy is not Subadditive. J Stat Phys 126, 643–648 (2007). https://doi.org/10.1007/s10955-006-9265-x

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  • DOI: https://doi.org/10.1007/s10955-006-9265-x

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