Minimal sufficient statistical experiments on von Neumann algebras
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Publication:5282852
DOI10.1063/1.4986247zbMath1366.81043arXiv1701.03394OpenAlexW3099028046MaRDI QIDQ5282852
Publication date: 17 July 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.03394
General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Applications of selfadjoint operator algebras to physics (46L60) Quantum measurement theory, state operations, state preparations (81P15) Vector-valued measures and integration (46G10) Operator algebra methods applied to problems in quantum theory (81R15) States of selfadjoint operator algebras (46L30)
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Accessible information without disturbing partially known quantum states on a von Neumann algebra, Entanglement-breaking channels with general outcome operator algebras, Quantum incompatibility of channels with general outcome operator algebras
Cites Work
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- Information capacity of a quantum observable
- Quantum sufficiency in the operator algebra framework
- Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
- A Schwarz inequality for positive linear maps on C\(^*\)-algebras
- Some maximality results for effect-valued measures
- Theory of operator algebras. II
- Structure of states which satisfy strong subadditivity of quantum entropy with equality
- Sharp and fuzzy observables on effect algebras
- Local asymptotic normality in quantum statistics
- Erratum: “Minimal sufficient positive-operator valued measure on a separable Hilbert space” [J. Math. Phys. 56, 102205 (2015)]
- SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
- Conditional expectation in an operator algebra. IV. Entropy and information
- On Projection Maps of von Neumann Algebras.
- Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics
- Equivalences of Measure Spaces
- Sufficiency and Statistical Decision Functions
- Theory of operator algebras I.