A CHARACTERISATION OF WIGNER–YANASE SKEW INFORMATION AMONG STATISTICALLY MONOTONE METRICS

DOI10.1142/S0219025701000644zbMath1041.81011MaRDI QIDQ4460464

Paolo Gibilisco, Tommaso Isola

Publication date: 18 May 2004

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

zbMATH Keywords

Fisher-Rao metricmonotone metrics

Mathematics Subject Classification ID

Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)

Related Items (20)

Geometry of quantum state space and quantum correlations ⋮ A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: The \(q\)-\(z\) family ⋮ On the curvature of the quantum state space with pull-back metrics ⋮ Parametric models and information geometry on \(W^\star\)-algebras ⋮ G-dual teleparallel connections in information geometry ⋮ Metric on the space of quantum states from relative entropy. Tomographic reconstruction ⋮ Tomographic reconstruction of quantum metrics ⋮ Gaussian states as minimum uncertainty states ⋮ Uncertainty principle and quantum Fisher information. II. ⋮ Direct approach to quantum extensions of Fisher information ⋮ Geometry of quantum state space and entanglement ⋮ A volume inequality for quantum Fisher information and the uncertainty principle ⋮ A Robertson-type uncertainty principle and quantum Fisher information ⋮ On the monotonicity of scalar curvature in classical and quantum information geometry ⋮ On the characterisation of paired monotone metrics ⋮ DUAL GEOMETRY OF THE WIGNER–YANASE–DYSON INFORMATION CONTENT ⋮ Inequalities for quantum Fisher information ⋮ QUANTUM INFORMATION GEOMETRY AND NONCOMMUTATIVE L_p-SPACES ⋮ The General Form of γ-Family of Quantum Relative Entropies ⋮ Riemannian metrics on positive definite matrices related to means

Cites Work

• Yang-Mills equation and Bures metric
• Monotone metrics on matrix spaces
• On the Riemannian metric of \(\alpha\)-entropies of density matrices
• CONNECTIONS ON STATISTICAL MANIFOLDS OF DENSITY OPERATORS BY GEOMETRY OF NONCOMMUTATIVE L^p-SPACES
• Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
• Geometries of quantum states
• Operator differentiable functions

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