QUANTUM INFORMATION GEOMETRY AND NONCOMMUTATIVE Lp-SPACES
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Publication:5462130
DOI10.1142/S0219025705001949zbMath1087.46047MaRDI QIDQ5462130
Publication date: 1 August 2005
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
duality\(\alpha\)-connectiondivergenceinformation geometrynoncommutative \(L_p\) spaces\(\alpha\)-embedding
Noncommutative differential geometry (46L87) Applications of differential geometry to physics (53Z05) Communication, information (94A99) Infinite-dimensional manifolds (58B99) Noncommutative function spaces (46L52)
Related Items
A construction of a nonparametric quantum information manifold ⋮ The General Form of γ-Family of Quantum Relative Entropies
Cites Work
- \(L_ p\)-spaces for von Neumann algebra with reference to a faithful normal semifinite weight
- Quasi-entropies for states of a von Neumann algebra
- Geometry of Banach spaces. Selected topics
- \(\alpha\)-divergence of the non-commutative information geometry
- Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
- A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
- Connections on Non-Parametric Statistical Manifolds by Orlicz Space Geometry
- CONNECTIONS ON STATISTICAL MANIFOLDS OF DENSITY OPERATORS BY GEOMETRY OF NONCOMMUTATIVE Lp-SPACES
- A CHARACTERISATION OF WIGNER–YANASE SKEW INFORMATION AMONG STATISTICALLY MONOTONE METRICS
- DUALITY, MONOTONICITY AND THE WIGNER–YANASE–DYSON METRICS
- Geometry of quantum states: Dual connections and divergence functions
- The quantum information manifold for \(\varepsilon\)-bounded forms.
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