Covariant KSGNS construction and quantum instruments

DOI10.1142/S0129055X17500209zbMath1420.81006arXiv1506.01218OpenAlexW2963751834MaRDI QIDQ5361991

Erkka Haapasalo, Juha-Pekka Pellonpää

Publication date: 29 September 2017

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

Full work available at URL: https://arxiv.org/abs/1506.01218

zbMATH Keywords

covariancedilation theoryquantum instrumentsconvex extreme points

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (C^*)-modules (46L08) Operator spaces and completely bounded maps (46L07) Quantum measurement theory, state operations, state preparations (81P15) Dilations, extensions, compressions of linear operators (47A20) Positive linear operators and order-bounded operators (47B65) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Applications of group representations to physics and other areas of science (20C35)

Related Items (4)

Kolmogorov decompositions and extremality conditions for positive covariant kernels ⋮ Covariant CP-instruments and their convolution semigroups ⋮ Compatibility of covariant quantum channels with emphasis on Weyl symmetry ⋮ Optimal covariant quantum measurements

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