The Wigner-Yanase entropy is not subadditive
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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.
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.
Original language | English |
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Journal | Journal of Statistical Physics |
Volume | 126 |
Issue number | 3 |
Pages (from-to) | 643-648 |
ISSN | 0022-4715 |
DOIs | |
Publication status | Published - 2007 |
- Faculty of Social Sciences - Wigner-Yanase entropy, subadditivity
Research areas
ID: 420482