Generalized Wigner-Yanase Skew Information and the Affiliated Inequality

• URL: http://arxiv.org/abs/2205.06988v2
• Date: Tue, 13 Jun 2023 03:36:53 GMT
• Title: Generalized Wigner-Yanase Skew Information and the Affiliated Inequality
• Authors: Ma-Cheng Yang and Cong-Feng Qiao
• Abstract summary: 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. We find in this work an exact skew information inequality for qubit system, which may regard as the information counterpart of the uncertainty relation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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