Covariant measurements and uncertainty relations

DOI10.1016/0034-4877(79)90072-7zbMath0447.62011OpenAlexW2065561005MaRDI QIDQ1146464

Alexandr S. Holevo

Publication date: 1979

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(79)90072-7

zbMATH Keywords

uncertainty relationscovariant measurementsimprimitivity systemirreducible representation of symmetry groupnoncommutative analogue of Hunt-Stein theorem

Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Statistical decision theory (62C99) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum equilibrium statistical mechanics (general) (82B10) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Cites Work

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• Estimation of shift parameters of a quantum state
• Statistical decision theory for quantum systems
• On the repeated measurement of continuous observables in quantum mechanics

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