Characterization of the sequential product on quantum effects

DOI10.1063/1.2904475zbMath1152.81456arXiv0803.3867OpenAlexW2031248193MaRDI QIDQ5504900

Frédéric Latrémolière, Stanley P. Gudder

Publication date: 23 January 2009

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

Full work available at URL: https://arxiv.org/abs/0803.3867

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Applications of selfadjoint operator algebras to physics (46L60) Quantum measurement theory, state operations, state preparations (81P15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Tensor products of (C^*)-algebras (46L06) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (10)

Three characterisations of the sequential product ⋮ Sequential product of quantum effects: an overview ⋮ Pure Maps between Euclidean Jordan Algebras ⋮ Contexts in Convex and Sequential Effect Algebras ⋮ Not each sequential effect algebra is sharply dominating ⋮ On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra ⋮ Continuity of the sequential product of sequential quantum effect algebras ⋮ Sequential product spaces are Jordan algebras ⋮ A universal property for sequential measurement ⋮ The nth root of sequential effect algebras

Cites Work

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• Preservers on Hilbert space effects.
• Sequential products on effect algebras
• Uniqueness and order in sequential effect algebras
• Sequential quantum measurements
• Almost sharp quantum effects
• Sequential product of quantum effects
• Operational Quantum Physics

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