Optimal measurement for general quantum systems

DOI10.1016/0034-4877(80)90036-1zbMath0571.46051OpenAlexW2073660871MaRDI QIDQ1061991

B. George

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0034-4877(80)90036-1

zbMATH Keywords

loss functionsoperator valued measureconvex structure approach to axiomatic quantum mechanicsexistence of Bayes optimal measurementsoptimal quantum measurementsrepresentation of convex prestructuresWald's theory of statistical decision functions

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Miscellaneous applications of functional analysis (46N99)

Related Items (12)

Statistical definition of observable and the structure of statistical models ⋮ General probabilistic theories: an introduction ⋮ Comparison of quantum statistical models: Equivalent conditions for sufficiency ⋮ Ozawa's intersubjectivity theorem as objection to QBism individual agent perspective ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Maximizing the probability of detection for pure states ⋮ Distinguishability measures and entropies for general probabilistic theories ⋮ Uncertainty relations for noise and disturbance in generalized quantum measurements ⋮ Optimal observables for minimum-error state discrimination in general probabilistic theories ⋮ Unnamed Item ⋮ Quantum state estimation with nuisance parameters

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