DUALITY, MONOTONICITY AND THE WIGNER–YANASE–DYSON METRICS
From MaRDI portal
Publication:5315822
DOI10.1142/S021902570400161XzbMath1072.82020arXivmath-ph/0212022OpenAlexW1982227448MaRDI QIDQ5315822
Publication date: 9 September 2005
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0212022
Applications of global differential geometry to the sciences (53C80) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Quantum measurement theory, state operations, state preparations (81P15)
Related Items (3)
Information geometry of warped product spaces ⋮ QUANTUM INFORMATION GEOMETRY AND NONCOMMUTATIVE Lp-SPACES ⋮ The General Form of γ-Family of Quantum Relative Entropies
Cites Work
- Unnamed Item
- Exponential and mixture families in quantum statistics: Dual structure and unbiased parameter estimation
- A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
- Monotone metrics on matrix spaces
- On the Riemannian metric of \(\alpha\)-entropies of density matrices
- Information Theory and Statistical Mechanics
- Connections on Non-Parametric Statistical Manifolds by Orlicz Space Geometry
- CONNECTIONS ON STATISTICAL MANIFOLDS OF DENSITY OPERATORS BY GEOMETRY OF NONCOMMUTATIVE Lp-SPACES
- ON THE UNIQUENESS OF THE CHENTSOV METRIC IN QUANTUM INFORMATION GEOMETRY
- Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
- Covariance and Fisher information in quantum mechanics
- Statistical Dynamics
- Geometry of quantum states: Dual connections and divergence functions
- The quantum information manifold for \(\varepsilon\)-bounded forms.
This page was built for publication: DUALITY, MONOTONICITY AND THE WIGNER–YANASE–DYSON METRICS