Uncertainty relation on generalized skew information with amonotone pair

DOI10.1007/s10773-017-3393-8zbMath1383.81024OpenAlexW2609088309MaRDI QIDQ1700817

Qing-Wen Wang, Lei Li, Jun-Tong Liu

Publication date: 22 February 2018

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-017-3393-8

zbMATH Keywords

uncertainty relationWigner-Yanase skew informationgeneralized skew information with a monotone pair

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum measurement theory, state operations, state preparations (81P15) Analysis of variance and covariance (ANOVA) (62J10)

Cites Work

• Uncertainty relation associated with a monotone pair skew information
• Quantum versus classical uncertainty
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• Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation
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• Trace inequalities on a generalized Wigner-Yanase skew information
• A generalization of Schrödinger's uncertainty relation described by the Wigner-Yanase skew information
• Note on the Wigner-Yanase-Dyson skew information
• A generalized uncertainty relation
• A note on a generalization of the Luo's uncertainty relation
• Non-Hermitian Quantum Mechanics
• Inequalities for Tsallis relative entropy and generalized skew information
• Correction to “On Skew Information”
• Geometric uncertainty relation for mixed quantum states
• INFORMATION CONTENTS OF DISTRIBUTIONS
• Generalizations of the Heisenberg and Schrödinger uncertainty relations

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