Extremal covariant POVM's

Giacomo Mauro D'Ariano; Giulio Chiribella

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Extremal covariant POVM's

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arxiv quant-ph/0406237 v1 pith:TREIJKKW submitted 2004-06-30 quant-ph

Giulio Chiribella , Giacomo Mauro D'Ariano This is my paper

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keywords povmcovariantextremalapplicationsboundscharacterizationconsiderconvex

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We consider the convex set of positive operator valued measures (POVM) which are covariant under a finite dimensional unitary projective representation of a group. We derive a general characterization for the extremal points, and provide bounds for the ranks of the corresponding POVM densities, also relating extremality to uniqueness and stability of optimized measurements. Examples of applications are given.

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