Positive operator valued measures covariant with respect to an Abelian group

DOI10.1063/1.1631081zbMath1070.81064arXivquant-ph/0212147OpenAlexW2009121018MaRDI QIDQ4833300

Alessandro Toigo, Ernesto De Vito, Gianni Cassinelli

Publication date: 15 December 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0212147

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum measurement theory, state operations, state preparations (81P15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (9)

Position and momentum observables on R and on R3 ⋮ Kolmogorov decompositions and extremality conditions for positive covariant kernels ⋮ Why unsharp observables? ⋮ Covariant KSGNS construction and quantum instruments ⋮ Optimal measurements in quantum mechanics ⋮ Covariant fuzzy observables and coarse-graining ⋮ Extremal covariant positive operator valued measures: The case of a compact symmetry group ⋮ Extreme covariant quantum observables in the case of an Abelian symmetry group and a transitive value space ⋮ Optimal covariant quantum measurements

Cites Work

• Quantum detection and estimation theory
• Coherent states, wavelets and their generalizations
• Operational Quantum Physics
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