A geometrical characterization of commutative positive operator valued measures
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Publication:3441857
DOI10.1063/1.2206879zbMath1112.81009OpenAlexW2021359167MaRDI QIDQ3441857
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2437/204278
Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50) Vector-valued measures and integration (46G10)
Related Items (12)
Positive operator valued measures and Feller Markov kernels ⋮ Neumark operators and sharp reconstructions: The finite dimensional case ⋮ Unsharpness, Naimark theorem and informational equivalence of quantum observables ⋮ Fuzzy observables: from weak Markov kernels to Markov kernels ⋮ Two-moment characterization of spectral measures on the real line ⋮ On the relationships between the moments of a POVM and the generator of the von Neumann algebra it generates ⋮ Uniform continuity of POVMs ⋮ Joint measurability through Naimark's dilation theorem ⋮ Universal randomization of quantum observables ⋮ How sharp are PV measures ⋮ Stochastic matrices and a property of the infinite sequences of linear functionals ⋮ Commutative POV-measures: from the Choquet representation to the Markov kernel and back
Cites Work
- Statistical definition of observable and the structure of statistical models
- An operational approach to quantum probability
- Statistical Structure of Quantum Theory
- From unsharp to sharp quantum observables: The general Hilbert space case
- Sharp reconstruction of unsharp quantum observables
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