On the relationships between the moments of a POVM and the generator of the von Neumann algebra it generates

DOI10.1007/s10773-011-0907-7zbMath1244.81010OpenAlexW2102792430MaRDI QIDQ429918

Roberto Beneduci

Publication date: 20 June 2012

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

Full work available at URL: https://doi.org/10.1007/s10773-011-0907-7

zbMATH Keywords

von Neumann algebrasquantum physicsMarkov kernelsPOV measures

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Vector-valued measures and integration (46G10) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (8)

Positive operator valued measures and Feller Markov kernels ⋮ Fuzzy observables: from weak Markov kernels to Markov kernels ⋮ Uniform continuity of POVMs ⋮ Some mathematical considerations on solid state physics in the framework of the phase space formulation of quantum mechanics ⋮ Joint measurability through Naimark's dilation theorem ⋮ Universal randomization of quantum observables ⋮ Commutative POV-measures: from the Choquet representation to the Markov kernel and back ⋮ Space localization of the photon

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unsharpness, Naimark theorem and informational equivalence of quantum observables
• Embedding quantum mechanics into a broader noncontextual theory: a conciliatory result
• Characterizations of commutative POV measures
• Commutative POVMs and fuzzy observables
• Stochastic matrices and a property of the infinite sequences of linear functionals
• Set theory. With an introduction to descriptive set theory. Translation of the original Polish edition. 2nd, completely revised ed
• How sharp are PV measures
• From unsharp to sharp quantum observables: The general Hilbert space case
• NEUMARK'S OPERATORS AND SHARP RECONSTRUCTIONS
• A geometrical characterization of commutative positive operator valued measures
• Phase space quantization and the operator moment problem
• Neumark operators and sharp reconstructions: The finite dimensional case
• Infinite sequences of linear functionals, positive operator-valued measures and Naimark extension theorem
• Operator integrals and phase space observables
• Sharp reconstruction of unsharp quantum observables
• Operational Quantum Physics

This page was built for publication: On the relationships between the moments of a POVM and the generator of the von Neumann algebra it generates