Quantifying asymmetry via generalized Wigner-Yanase-Dyson skew information
Quantifying asymmetry via generalized Wigner-Yanase-Dyson skew information
复制标题
通过广义 Wigner-Yanase-Dyson 偏斜信息量化不对称性
DOI：
10.1088/1751-8121/ac07ec
复制
发表时间：
2021
影响因子：
2.1
通讯作者：
Li Nan
中科院分区：
文献类型：
--
作者：
Sun Yuan;Li Nan
非对称性是一种有用的物理资源，它量化了量子态打破对称性的程度。在推广量子态对任意算符（不一定是厄米算符）的Wigner-Yanase-Dyson偏斜信息的基础上，引入量子态关于紧李群的非对称性测度，作为该量子态对每个算符在其幺正表示中的平均偏斜信息，并证明它满足非对称性资源理论的要求.对于几个重要的对称群，如群U（1），全酉群，局部酉群，群UU，群
Asymmetry is a useful physical resource which quantifies the extent to which a quantum state breaks a symmetry. Based on the generalization of Wigner–Yanase–Dyson skew information of quantum states for any operator (not necessarily Hermitian), we introduce an asymmetry measure of a quantum state with respect to a compact Lie group as the average skew information of this state for each operator in its unitary representation and prove that it meets the requirements for the resource theory of asymmetry. For several significant symmetry groups, such as the group U (1), the full unitary group, the local unitary group, the group UU, the group