Extreme covariant observables for type I symmetry groups

DOI10.1007/s10701-009-9274-0zbMath1235.81016OpenAlexW2063925526MaRDI QIDQ735188

Alexandr S. Holevo, Juha-Pekka Pellonpää

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/s10701-009-9274-0

zbMATH Keywords

extreme pointKolmogorov decompositioncovariance systemcovariant observablegeneralized imprimitivity systemmeasurable field of sesquilinear formspositive operator measure

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum measurement theory, state operations, state preparations (81P15) Vector-valued measures and integration (46G10)

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Kolmogorov decompositions and extremality conditions for positive covariant kernels, Covariant KSGNS construction and quantum instruments, Fourier Series for Fractals in Two Dimensions, Extreme covariant quantum observables in the case of an Abelian symmetry group and a transitive value space, Optimal covariant quantum measurements

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