Non-Hermitian extensions of Heisenberg type and Schrödinger type uncertainty relations

DOI10.1186/s13660-015-0895-xzbMath1326.81046OpenAlexW2184737004WikidataQ59404056 ScholiaQ59404056MaRDI QIDQ896516

Kohei Sekikawa, Kenjiro Yanagi

Publication date: 9 December 2015

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0895-x

zbMATH Keywords

trace inequalitymetric adjusted skew informationnon-Hermitian observable

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (3)

Uncertainty relation for non-Hermitian operators ⋮ Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty ⋮ Non-Hermitian extensions of uncertainty relations with generalized metric adjusted skew information

Cites Work

• Metric adjusted skew information and uncertainty relation
• Schrödinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure
• On a correspondence between regular and non-regular operator monotone functions
• Note on the Wigner-Yanase-Dyson skew information
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Metric adjusted skew information
• On Skew Information
• A Generalized Skew Information and Uncertainty Relation
• MATRIX TRACE INEQUALITIES RELATED TO UNCERTAINTY PRINCIPLE
• Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited
• Generalizations of the Heisenberg and Schrödinger uncertainty relations

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