From unsharp to sharp quantum observables: The general Hilbert space case

DOI10.1063/1.533346zbMath0987.81013OpenAlexW2029311869MaRDI QIDQ2738044

Gianpiero Cattaneo, Giuseppe Nisticò

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533346

Mathematics Subject Classification ID

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

Related Items (11)

A geometrical characterization of commutative positive operator valued measures ⋮ Neumark operators and sharp reconstructions: The finite dimensional case ⋮ ``Evaluations of observables versus measurements in quantum theory ⋮ Unsharpness, Naimark theorem and informational equivalence of quantum observables ⋮ Two-moment characterization of spectral measures on the real line ⋮ Subreducts and subvarieties of PBZ *-lattices* ⋮ On the relationships between the moments of a POVM and the generator of the von Neumann algebra it generates ⋮ 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 ⋮ NEUMARK'S OPERATORS AND SHARP RECONSTRUCTIONS

Cites Work

• Über Funktionen von Funktionaloperatoren
• Attempt of an axiomatic foundation of quantum mechanics and more general theories. III
• An operational approach to quantum probability
• The logic of quantum mechanics

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