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.
Positive operator valued measures covariant with respect to an irreducible representation / Cassinelli, G; DE VITO, Ernesto; Toigo, A.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 44:(2003), pp. 4768-4775. [10.1063/1.1598277]
Positive operator valued measures covariant with respect to an irreducible representation
DE VITO, Ernesto;
2003
Abstract
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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