The entropy of observables on quantum logic

DOI10.1016/0034-4877(84)90004-1zbMath0591.03046OpenAlexW1997250750MaRDI QIDQ1074578

B. George

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0034-4877(84)90004-1

zbMATH Keywords

experimentmaximal Boolean sub-sigma-algebraresolution of unity

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Quantum logic (03G12) Stochastic mechanics (including stochastic electrodynamics) (81P20) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (2)

Bibliography on quantum logics and related structures ⋮ A brief introduction to observational entropy

Cites Work

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• Quantum information theory
• Comments on the Kolmogorov-Sinai-Sasiada entropy and the quantum information theory
• Remarks on A-entropy
• On the characterization of the von Neumann entropy via the entropies of measurements
• Ergodic theory, entropy
• Boolean properties of observables in axiomatic quantum mechanics
• Invariant measures on Boolean algebras
• Functional Operators (AM-22), Volume 2

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