Neumark operators and sharp reconstructions: The finite dimensional case

DOI10.1063/1.2437653zbMath1121.81009arXiv1005.2955OpenAlexW3102739807MaRDI QIDQ3442191

Roberto Beneduci

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/1005.2955

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50)

Related Items (9)

Positive operator valued measures and Feller Markov kernels ⋮ Unsharpness, Naimark theorem and informational equivalence of quantum observables ⋮ An effective iterative method to build the Naimark extension of rank-n POVMs ⋮ 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 ⋮ 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 ⋮ Space localization of the photon

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• NEUMARK'S OPERATORS AND SHARP RECONSTRUCTIONS
• A geometrical characterization of commutative positive operator valued measures
• Sharp reconstruction of unsharp quantum observables

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