DUAL GEOMETRY OF THE WIGNER–YANASE–DYSON INFORMATION CONTENT

DOI10.1142/S021902570300133XzbMath1211.82008MaRDI QIDQ3043510

Hiroshi H. Hasegawa

Publication date: 6 August 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

Wigner-Yanase-Dyson skew informationdual affine connectionMonotone metric

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Quantum measurement theory, state operations, state preparations (81P15) Information theory (general) (94A15)

Related Items (8)

Wigner–Yanase information on quantum state space: The geometric approach ⋮ Parametric models and information geometry on \(W^\star\)-algebras ⋮ G-dual teleparallel connections in information geometry ⋮ On convexity of generalized Wigner-Yanase-Dyson information ⋮ Logarithm Versus Square Root: Comparing Quantum Fisher Information ⋮ On the monotonicity of scalar curvature in classical and quantum information geometry ⋮ On the characterisation of paired monotone metrics ⋮ The General Form of γ-Family of Quantum Relative Entropies

Cites Work

• Quasi-entropies for finite quantum systems
• Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
• Means of positive linear operators
• \(\alpha\)-divergence of the non-commutative information geometry
• Density operators as an arena for differential geometry
• Quantum analysis -- non-commutative differential and integral calculi
• Operator convex functions of several variables
• Monotone metrics on matrix spaces
• On the Riemannian metric of \(\alpha\)-entropies of density matrices
• Derivations, derivatives and chain rules
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• CONNECTIONS ON STATISTICAL MANIFOLDS OF DENSITY OPERATORS BY GEOMETRY OF NONCOMMUTATIVE L^p-SPACES
• A CHARACTERISATION OF WIGNER–YANASE SKEW INFORMATION AMONG STATISTICALLY MONOTONE METRICS
• Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
• INFORMATION CONTENTS OF DISTRIBUTIONS

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