Metric adjusted skew information and uncertainty relation

DOI10.1016/j.jmaa.2011.03.068zbMath1218.81013OpenAlexW2045480526MaRDI QIDQ536295

Kenjiro Yanagi

Publication date: 16 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.068

zbMATH Keywords

operator monotone functionWigner-Yanase-Dyson skew informationquantum Fisher informationHeisenberg uncertainty relation

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (13)

Non-Hermitian extensions of Heisenberg type and Schrödinger type uncertainty relations ⋮ Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty ⋮ Geometric uncertainty relations on Wigner–Yanase skew information ⋮ Sum uncertainty relations based on metric-adjusted skew information ⋮ Note on the Wigner-Yanase-Dyson skew information ⋮ Schrödinger uncertainty relation and convexity for the monotone pair skew information ⋮ Schrödinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure ⋮ An uncertainty relation in terms of generalized metric adjusted skew information and correlation measure ⋮ Two generalized Wigner-Yanase skew information and their uncertainty relations ⋮ Generalizations of the Heisenberg and Schrödinger uncertainty relations ⋮ Generalized Wigner–Yanase–Dyson information revisited ⋮ Wigner-Yanase skew information and uncertainty relations for quaternionic mixed states ⋮ Non-Hermitian extensions of uncertainty relations with generalized metric adjusted skew information

Cites Work

• On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information
• Uncertainty relation on Wigner-Yanase-Dyson skew information
• On a correspondence between regular and non-regular operator monotone functions
• Means of positive linear operators
• Monotone metrics on matrix spaces
• On the Riemannian metric of \(\alpha\)-entropies of density matrices
• Uncertainty principle and quantum Fisher information. II.
• Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations
• INFORMATION CONTENTS OF DISTRIBUTIONS

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