Infinite Dimensional Analysis Quantum Probability and Related Topics
Generalized Wigner–Yanase–Dyson information revisited
Liang Cai
Abstract
Motivated by the direct approach to quantum extensions of Fisher information in Chen and Luo [Front. Math. China 2 (2007) 359], we introduce a further generalized version of Wigner–Yanase–Dyson information, and investigate its fundamental properties including positivity, convexity and super-additivity, etc. As an application, we present a generalized uncertainty relation.