Quantum instruments and related transformation valued functions

DOI10.1007/s10701-009-9294-9zbMath1235.81020OpenAlexW2076753501MaRDI QIDQ735193

Kari Ylinen

Publication date: 21 October 2009

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

Full work available at URL: https://doi.org/10.1007/s10701-009-9294-9

zbMATH Keywords

Fourier transformvon Neumann algebracompletely positivepositive-definiteweakly compact operatorgroup \(C^{*}\)-algebrainstrumentquantum theory of measurement

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Quantum measurement theory, state operations, state preparations (81P15) Integral operators (47G10)

Related Items (4)

Modules, completely positive maps, and a generalized KSGNS construction ⋮ Covariant CP-instruments and their convolution semigroups ⋮ Modules and extremal completely positive maps ⋮ Classical and nonclassical randomness in quantum measurements

Cites Work

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• Topological characterisation of weakly compact operators
• Representations of completely bounded multilinear operators
• The structure of pure completely bounded and completely positive multilinear operators
• Noncommutative Fourier transforms of bounded bilinear forms and completely bounded multilinear operators
• An operational approach to quantum probability
• On the repeated measurement of continuous observables in quantum mechanics
• On nuclear C\(^*\)-algebras
• Ergodic Theorems for Fourier Transforms of Noncommutative Analogues of Vector Measures
• Fourier transforms of noncommutative analogues of vector measures and bimeasures with applications to stchastic processes
• Operational Quantum Physics
• Positive operator bimeasures and a noncommutative generalization
• The Quantum Theory of Measurement
• The Dual Space of an Operator Algebra
• L'algèbre de Fourier d'un groupe localement compact
• Positive Functions on C ∗ -Algebras

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