The exponential Orlicz space in quantum information geometry
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Publication:6138805
DOI10.1007/s41884-023-00097-xarXiv2301.06906OpenAlexW4317881843MaRDI QIDQ6138805
Publication date: 16 January 2024
Published in: Information Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.06906
Noncommutative function spaces (46L52) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Information geometry (statistical aspects) (62B11)
Cites Work
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- Lectures on selected topics in von Neumann algebras
- A construction of a nonparametric quantum information manifold
- Exponential statistical manifold
- Dual connections in nonparametric classical information geometry
- Relative Hamiltonians which are not bounded from above
- Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
- Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
- A variational expression for the relative entropy
- Continuity and relative Hamiltonians
- Relative entropy of states of von Neumann algebras
- Relative entropy for states of von Neumann algebras. II
- Theory of operator algebras. II
- A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
- Rényi relative entropies and noncommutative \(L_p\)-spaces. II
- Relative Hamiltonian for faithful normal states of a von Neumann algebra
- Rényi relative entropies and noncommutative \(L_p\)-spaces
- A crossed product approach to Orlicz spaces
- Algebraic and Geometric Methods in Statistics
- SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
- Quantum Orlicz Spaces in Information Geometry
- Noncommutative Orlicz Spaces and Generalized Arens Algebras
- Quantum f-Divergences in von Neumann Algebras
- Noncommutative Orlicz spaces associated to a state
- Information Geometry
- The quantum information manifold for \(\varepsilon\)-bounded forms.
- Theory of operator algebras I.
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