The Wigner-Yanase entropy is not subadditive

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dc.creatorHansen, Frank
dc.date2006-09-07
dc.date2006-11-22
dc.date.accessioned2026-07-07T07:47:02Z
dc.date.available2026-07-07T07:47:02Z
dc.descriptionWigner 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.
dc.descriptionTo appear in Journal of Statistical Physics
dc.identifierhttps://arxiv.org/abs/math-ph/0609019
dc.identifierhttp://arxiv.org/abs/math-ph/0609019
dc.identifierJournal of Statistical Physics 126 (2007), 643-648.
dc.identifierdoi:10.1007/s10955-006-9265-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124029
dc.subjectMathematical Physics
dc.titleThe Wigner-Yanase entropy is not subadditive
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