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QIS

Seminar

Extremel covariant POVM's

Chiribella, G (Pavia)
Monday 15 November 2004, 11:15-12.00

Seminar Room 1, Newton Institute

Abstract

The random choice between two different apparatuses measuring the same physical parameter can be viewed as a convex combination in the space of quantum measurements. In particular, the set of positive operator valued measures (POVM) pertaining to a given parameter is a convex set. The aim of this work is to characterize the extreme points of the set of POVM's which are covariant with respect to a finite dimensional representation of a Lie group. Necessary and sufficient conditions are given, also relating extremality with uniqueness and stability of measurements arising in concrete optimization problems.

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