Parametric models and information geometry on \(W^\star\)-algebras
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Publication:6138803
DOI10.1007/s41884-022-00094-6arXiv2207.09396OpenAlexW4315784403MaRDI QIDQ6138803
Fabio Di Nocera, Florio M. Ciaglia, Lorenz J. Schwachhöfer, Juergen Jost
Publication date: 16 January 2024
Published in: Information Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.09396
Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Differential geometric aspects of statistical manifolds and information geometry (53B12) Information geometry (statistical aspects) (62B11)
Related Items
Information geometry, Jordan algebras, and a coadjoint orbit-like construction ⋮ Legendre duality: from thermodynamics to information geometry
Cites Work
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- Coherent states, wavelets, and their generalizations
- Foundations of quantum theory. From classical concepts to operator algebras
- Absolute continuity for linear forms on \(B^*\)-algebras and a Radon- Nikodým type theorem (quadratic version)
- A construction of a nonparametric quantum information manifold
- A geometry on the space of probabilities. II: Projective spaces and exponential families
- A geometry on the space of probabilities. I: The finite dimensional case
- Information geometry and its applications
- Manifolds, tensor analysis, and applications.
- A Schwarz inequality for positive linear maps on C\(^*\)-algebras
- Linear response theory and the KMS condition
- Parametrized measure models
- 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 pseudo-manifold of quantum states
- A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics
- Geometry of the probability simplex and its connection to the maximum entropy method
- Information geometry and sufficient statistics
- Symplectic leaves in real Banach Lie-Poisson spaces
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- Statistical Structure of Quantum Theory
- DUAL GEOMETRY OF THE WIGNER–YANASE–DYSON INFORMATION CONTENT
- UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
- Symmetries, Group Actions, and Entanglement
- QUANTUM ESTIMATION FOR QUANTUM TECHNOLOGY
- Quantum mechanics as an infinite-dimensional Hamiltonian system with uncertainty structure: Part I
- Geometry of canonical correlation on the state space of a quantum system
- A CHARACTERISATION OF WIGNER–YANASE SKEW INFORMATION AMONG STATISTICALLY MONOTONE METRICS
- A gentle introduction to Schwinger’s formulation of quantum mechanics: The groupoid picture
- Wigner–Yanase information on quantum state space: The geometric approach
- Reduction of Lie–Jordan Banach algebras and quantum states
- Geometry from Dynamics, Classical and Quantum
- Schwinger’s picture of quantum mechanics I: Groupoids
- Information Geometry
- Metric on the space of quantum states from relative entropy. Tomographic reconstruction
- Defining quantumness via the Jordan product
- Geometry of Quantum States
- Quantization and unitary representations
- Note on Continuous Representations of Lie Groups
- Quantum Fisher information matrix and multiparameter estimation
- Geometrization of quantum mechanics
- Riemannian geometry and geometric analysis
- Theory of operator algebras I.
- Representable Markov categories and comparison of statistical experiments in categorical probability
- Schwinger’s picture of quantum mechanics