Optimal measurement for general quantum systems (Q1061991)
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scientific article; zbMATH DE number 3911076
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal measurement for general quantum systems |
scientific article; zbMATH DE number 3911076 |
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Optimal measurement for general quantum systems (English)
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1980
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The author formulates a general theory of optimal quantum measurements on the basis of the convex structure approach to axiomatic quantum mechanics by \textit{S. Gudder} [Commun. Math. Phys. 29, 249-264 (1973)] and obtains simple and general conditions for existence of Bayes optimal measurements by a method avoiding use of operator valued measure techniques. For this, a representation of convex prestructures and a characterization of a class of loss functions are obtained. An application of the results to Wald's theory of statistical decision functions is given.
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optimal quantum measurements
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convex structure approach to axiomatic quantum mechanics
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existence of Bayes optimal measurements
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operator valued measure
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representation of convex prestructures
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loss functions
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Wald's theory of statistical decision functions
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