Physics – Quantum Physics
Scientific paper
2004-06-30
J. Math. Phys. 45, 4435 (2004)
Physics
Quantum Physics
15 pages, no figures
Scientific paper
10.1063/1.1806262
We consider the convex set of positive operator valued measures (POVM) which are covariant under a finite dimensional unitary projective representation of a group. We derive a general characterization for the extremal points, and provide bounds for the ranks of the corresponding POVM densities, also relating extremality to uniqueness and stability of optimized measurements. Examples of applications are given.
Chiribella Giulio
D'Ariano Giacomo Mauro
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