Statistical definition of observable and the structure of statistical models

DOI10.1016/0034-4877(85)90030-8zbMath0607.46048OpenAlexW2064007170MaRDI QIDQ1085406

Alexandr S. Holevo

Publication date: 1985

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(85)90030-8

zbMATH Keywords

spectral measurescentral decompositionhidden variablesstatistical characterization of measurements of observables

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Quantum equilibrium statistical mechanics (general) (82B10) Probability theory on algebraic and topological structures (60B99) Miscellaneous applications of functional analysis (46N99)

Related Items

A geometrical characterization of commutative positive operator valued measures ⋮ Neumark operators and sharp reconstructions: The finite dimensional case ⋮ On classical data processing which affects additivity of quantum accessible information ⋮ Commutative POV-measures: from the Choquet representation to the Markov kernel and back ⋮ Constructing extremal compatible quantum observables by means of two mutually unbiased bases ⋮ Commutative POVMs and fuzzy observables ⋮ Barycentric decomposition of quantum measurements in finite dimensions ⋮ NEUMARK'S OPERATORS AND SHARP RECONSTRUCTIONS ⋮ Modification of quantum measurements by mapping onto quantum states and classical outcomes

Cites Work

• Optimal measurement for general quantum systems
• The ideal center of partially ordered vector spaces
• On the Problem of Hidden Variables in Quantum Mechanics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Statistical definition of observable and the structure of statistical models