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arXiv:2205.06988 · Physical Review A

Generalized Wigner-Yanase skew information and the affiliated inequality

Ma-Cheng Yang, Cong‐Feng Qiao

Published Nov 1, 2022• 11 citations
arXivHTMLPDF

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 a qubit system, which may be regarded as the information counterpart of the uncertainty relation. A lower bound for the generalized skew information of a pair of incompatible observables in arbitrary dimension and also the upper bound for a qubit system are achieved.

DOI
10.1103/physreva.106.052401

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