Journal of Mathematical Physics

Extremal covariant quantum operations and positive operator valued measures

Giacomo Mauro D’Ariano

Published Aug 12, 2004• 26 citations

Abstract

We consider the convex sets of QO’s (quantum operations) and POVM’s (positive operator valued measures) which are covariant under a general finite-dimensional unitary representation of a group. We derive necessary and sufficient conditions for extremality, and give general bounds for ranks of the extremal POVM’s and QO’s. Results are illustrated on the basis of simple examples.

DOI: 10.1063/1.1777813

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