Extremal covariant quantum operations and POVM's

Details Extremal covariant quantum operations and POVM's Extremal covariant quantum operations and POVM's

2003-10-03

arxiv.org/abs/quant-ph/0310024v4

J. Math. Phys. 45 3620-3635 (2004)

Physics

Quantum Physics

18 pages, to appear on J. Math. Phys

Scientific paper

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.

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