FROM QUASI-ENTROPY TO SKEW INFORMATION

DOI10.1142/S0129167X09005832zbMath1177.94112arXiv0712.2881MaRDI QIDQ3655722

V. E. S. Szabó, Dénes Petz

Publication date: 8 January 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2881

zbMATH Keywords

operator monotone functionsquantum Fisher informationquantum covariance

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Applications of selfadjoint operator algebras to physics (46L60) Measures of information, entropy (94A17) Quadratic and bilinear forms, inner products (15A63) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

Strongly subadditive functions ⋮ From \(f\)-divergence to quantum quasi-entropies and their use ⋮ Schrödinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure ⋮ How to distinguish quantum covariances using uncertainty relations ⋮ Optimized quantumf-divergences and data processing ⋮ Inequalities for quantum skew information

Cites Work

• An informational characterization of Schrödinger's uncertainty relations
• A class of matrix monotone functions
• Uncertainty principle and quantum Fisher information
• Quasi-entropies for finite quantum systems
• Relative entropy of states of von Neumann algebras
• Means of positive linear operators
• Monotone metrics on matrix spaces
• On the Riemannian metric of \(\alpha\)-entropies of density matrices
• Quantum information theory and quantum statistics.
• A volume inequality for quantum Fisher information and the uncertainty principle
• A Robertson-type uncertainty principle and quantum Fisher information
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Metric adjusted skew information
• Uncertainty principle and quantum Fisher information. II.
• Uncertainty principle with quantum Fisher information
• On Skew Information
• Correction to “On Skew Information”
• On Divergences and Informations in Statistics and Information Theory
• The standard form of von Neumann algebras.
• Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations
• MATRIX TRACE INEQUALITIES RELATED TO UNCERTAINTY PRINCIPLE
• INFORMATION CONTENTS OF DISTRIBUTIONS

This page was built for publication: FROM QUASI-ENTROPY TO SKEW INFORMATION