Geometric uncertainty relations on Wigner–Yanase skew information

DOI10.1088/1751-8121/ACDC69zbMath1525.81027MaRDI QIDQ6159717

Bin Chen, Lian Pan

Publication date: 20 June 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

zbMATH Keywords

uncertainty relationKähler structureWigner-Yanase skew information

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Functionals in proof theory (03F10) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Uncertainty relations, also entropic (81S07)

Cites Work

• Sum uncertainty relations based on Wigner-Yanase skew information
• Metric adjusted skew information and uncertainty relation
• Entropic uncertainty relations—a survey
• A Generalized Skew Information and Uncertainty Relation
• An Indeterminacy Relation for Several Observables and Its Classical Interpretation
• Uncertainty relations for multiple operators without covariances
• A geometric framework for mixed quantum states based on a Kähler structure
• INFORMATION CONTENTS OF DISTRIBUTIONS
• Generalizations of the Heisenberg and Schrödinger uncertainty relations

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