Wigner-Yanase熵不是次可加的
The Wigner-Yanase entropy is not subadditive
摘要：
Wigner和Yanase在1963年引入了Wigner-Yanase熵，定义为一个状态相对于一个保守的可观测量的偏斜信息的负值。他们证明了Wigner-Yanase熵在状态中是一个凹函数，并证明了它相对于可能相互作用的子系统的聚集是次加性的。虽然这对量子力学熵来说是正确的，但我们通过提供一个反例来否定Wigner-Yanase熵的猜想。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
