Quantum Orlicz Spaces in Information Geometry
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Publication:4678383
DOI10.1007/s11080-004-6626-2zbMath1084.81024arXivmath-ph/0407046OpenAlexW1990031747MaRDI QIDQ4678383
Publication date: 23 May 2005
Published in: Open Systems & Information Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0407046
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Compact operators under Orlicz function ⋮ Nonregular representations of CCR algebras and algebraic fermion bosonization ⋮ A construction of a nonparametric quantum information manifold ⋮ Exponential arcs in the manifold of vector states on a \(\sigma\)-finite von Neumann algebra ⋮ Monotone norms and Finsler structures in noncommutative spaces ⋮ Generalization of Orlicz spaces ⋮ The exponential Orlicz space in quantum information geometry ⋮ Optimal measures and Markov transition kernels ⋮ Non-commutative Orlicz spaces associated to a modular on \(\tau\)-measurable operators ⋮ A statistical manifold modeled on Orlicz spaces using Kaniadakis \(\kappa\)-exponential models ⋮ On applications of Orlicz spaces to statistical physics ⋮ Noncommutative Orlicz spaces associated to a state. II ⋮ Manifolds of classical probability distributions and quantum density operators in infinite dimensions
Cites Work
- A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
- Monotone metrics on matrix spaces
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- CONNECTIONS ON STATISTICAL MANIFOLDS OF DENSITY OPERATORS BY GEOMETRY OF NONCOMMUTATIVE Lp-SPACES
- Duality in Quantum Information Geometry
- Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
- Covariance and Fisher information in quantum mechanics
- Noncommutative Orlicz Spaces and Generalized Arens Algebras
- The quantum information manifold for \(\varepsilon\)-bounded forms.
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