Generalized Wigner-Yanase Skew Information and the Affiliated Inequality
arXiv:2205.06988 · doi:10.1103/PhysRevA.106.052401
Abstract
A family of skew information quantities is obtained, in which the well-known Wigner-Yanase skew information and quantum Fisher information stand as special cases. A transparent proof of convexity of the generalized skew information is given, implying a simple proof of the Wigner-Yanase-Dyson conjecture. We find in this work an exact skew information inequality for qubit system, which may regard as the information counterpart of the uncertainty relation. A lower bound for generalized skew information of a pair of incompatible observables in arbitrary dimension and also the upper bound for qubit system are achieved.
arXiv comment23 pages, 2 figures
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