Extremal covariant measurements

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dc.creatorChiribella, G.
dc.creatorD'Ariano, G. M.
dc.date2006-03-20
dc.date.accessioned2026-07-07T07:46:25Z
dc.date.available2026-07-07T07:46:25Z
dc.descriptionWe 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 non-transitive. 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.
dc.description11 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0603168
dc.identifierhttp://arxiv.org/abs/quant-ph/0603168
dc.identifierJ. Math. Phys. 47, 092107 (2006)
dc.identifierdoi:10.1063/1.2349481
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123822
dc.subjectQuantum Physics
dc.titleExtremal covariant measurements
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