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Metric adjusted skew information and uncertainty relation
Authors:Kenjiro Yanagi
Institution:Division of Applied Mathematical Science, Graduate School of Science and Engineering, Yamaguchi University, Ube, 755-8611 Japan
Abstract:We show that an uncertainty relation for Wigner-Yanase-Dyson skew information proved by Yanagi (2010) 10] can hold for an arbitrary quantum Fisher information under some conditions. This is a refinement of the result of Gibilisco and Isola (2011) 4].
Keywords:Heisenberg uncertainty relation  Wigner-Yanase-Dyson skew information  Operator monotone function  Quantum Fisher information
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