Characterizations of commutative POV measures

DOI10.1007/s10701-009-9273-1zbMath1204.81068OpenAlexW2168820646MaRDI QIDQ735187

Sylvia Pulmannová, Anna Jenčová

Publication date: 21 October 2009

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-009-9273-1

zbMATH Keywords

observablesChoquet theoremMarkov kernelPOV measuressmearingNaimark extensionPV measuresweak Markov kernel

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum measurement theory, state operations, state preparations (81P15) Dilations, extensions, compressions of linear operators (47A20) Vector-valued measures and integration (46G10) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (14)

Positive operator valued measures and Feller Markov kernels ⋮ On Operator Valued Measures ⋮ Minimal sufficient positive-operator valued measure on a separable Hilbert space ⋮ Quantum unsharpness and symplectic rigidity ⋮ Spectra and variance of quantum random variables ⋮ On the relationships between the moments of a POVM and the generator of the von Neumann algebra it generates ⋮ Symplectic geometry of quantum noise ⋮ Uniform continuity of POVMs ⋮ Unnamed Item ⋮ Universal randomization of quantum observables ⋮ Commutative POV-measures: from the Choquet representation to the Markov kernel and back ⋮ Observables on synaptic algebras ⋮ Commutative POVMs and fuzzy observables ⋮ Compatibility properties of extreme quantum observables

Cites Work

• Mathematical theory of statistics. Statistical experiments and asymptotic decision theory
• Sharp and fuzzy observables on effect algebras
• How sharp are PV measures
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