Note on the Wigner-Yanase-Dyson Skew Information |
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Authors: | Yan-Ni Dou Hong-Ke Du |
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Affiliation: | 1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, People’s Republic of China
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Abstract: | In this note, releasing the restriction on operators which are observables (self-adjoint), a generalization of the Wigner-Yanase-Dyson skew information is given. We study some properties of the generalization of the Wigner-Yanase-Dyson skew information and related quantities from the operator theory point of view. In particular, an elementary proof of the convexity with the Wigner-Yanase-Dyson skew information is obtained. |
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