Extremal covariant positive operator valued measures
نویسندگان
چکیده
منابع مشابه
Extremal Covariant Positive Operator Valued Measures: the Case of a Compact Symmetry Group
In the modern theory of quantum mechanics, observables are represented as normalized positive operator valued measures (POVMs). The set of all POVMs having the same outcome space has natural convex structure. A convex mixture of two POVMs corresponds to a random choice between two measurement apparatuses. An extremal POVM thus describes an observable which is unaffected by this kind of randomne...
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Given an irreducible representation of a group G, we show that all the covariant positive operator valued measures based on G/Z, where Z is a central subgroup, are described by trace class, trace one positive operators.
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This paper presents an overview of close parallels that exist between the theory of positive operator-valued measures (POVMs) associated with a separable Hilbert space and the theory of frames on that space, including its most important generalizations. The concept of a framed POVM is introduced, and classical frames, fusion frames, generalized frames, and other variants of frames are all shown...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2004
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1806262