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- W3105341777 abstract "We characterize the extremal points of the convex set of quantum measurements that are covariant under a finite-dimensional projective representation of a compact group, with action of the group on the measurement probability space which is generally nontransitive. In this case the POVM density is made of multiple orbits of positive operators, and, in the case of extremal measurements, we provide a bound for the number of orbits and for the rank of POVM elements. Two relevant applications are considered, concerning state discrimination with mutually unbiased bases and the maximization of the mutual information." @default.
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- W3105341777 date "2006-09-01" @default.
- W3105341777 modified "2023-10-17" @default.
- W3105341777 title "Extremal covariant measurements" @default.
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- W3105341777 doi "https://doi.org/10.1063/1.2349481" @default.
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