Flat connections and Wigner-Yanase-Dyson metrics
From MaRDI portal
Publication:1430980
DOI10.1016/S0034-4877(03)80033-2zbMath1051.53065arXivmath-ph/0307057MaRDI QIDQ1430980
Publication date: 27 May 2004
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0307057
Quantum computation (81P68) Applications of global differential geometry to the sciences (53C80) Quantum measurement theory, state operations, state preparations (81P15) Information theory (general) (94A15) Connections (general theory) (53C05)
Related Items (5)
Geodesic distances on density matrices ⋮ Information geometry, Jordan algebras, and a coadjoint orbit-like construction ⋮ G-dual teleparallel connections in information geometry ⋮ A five-dimensional Riemannian manifold with an irreducible \(\mathrm{SO}(3)\)-structure as a model of abstract statistical manifold ⋮ The General Form of γ-Family of Quantum Relative Entropies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second order efficiency of minimum contrast estimators in a curved exponential family
- Quasi-entropies for finite quantum systems
- Differential-geometrical methods in statistics.
- The scalar curvature of the Bures metric on the space of density matrices
- \(\alpha\)-divergence of the non-commutative information geometry
- Exponential and mixture families in quantum statistics: Dual structure and unbiased parameter estimation
- On the curvature of monotone metrics and a conjecture concerning the Kubo-Mori metric
- Monotone metrics on matrix spaces
- ON THE UNIQUENESS OF THE CHENTSOV METRIC IN QUANTUM INFORMATION GEOMETRY
- Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
- Geometry of quantum states: Dual connections and divergence functions
This page was built for publication: Flat connections and Wigner-Yanase-Dyson metrics
