Calculus for non-compatible observables, construction through conditional states

DOI10.1007/s10773-014-2243-1zbMath1319.81014OpenAlexW2047438891MaRDI QIDQ2342821

Martin Kalina, Ol'ga Nánásiová

Publication date: 29 April 2015

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-014-2243-1

zbMATH Keywords

conditional expectationorthomodular latticesum of observables

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Semimodular lattices, geometric lattices (06C10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (3)

Can there be given any meaning to contextuality without incompatibility? ⋮ A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras ⋮ On extension of joint distribution functions on quantum logics

Cites Work

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• The commutator and solvability in a generalized orthomodular lattice
• Extended representations of observables and states for a noncontextual reinterpretation of QM
• Joint probability distributions of observables in quantum mechanics
• Relative conditional expectations on a logic
• Joint Distributions and Commutability of Observables
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