The Wigner-Yanase entropy is not subadditive

Details The Wigner-Yanase entropy is not subadditive The Wigner-Yanase entropy is not subadditive

2006-09-07

arxiv.org/abs/math-ph/0609019v2

Journal of Statistical Physics 126 (2007), 643-648.

Physics

Mathematical Physics

To appear in Journal of Statistical Physics

Scientific paper

10.1007/s10955-006-9265-x

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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