Extremal covariant POVM's

Abstract

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.

15 pages, no figures

References in corpus (4)

• Quantum Cryptography
• Using entanglement improves precision of quantum measurements
• Optimal estimation of quantum dynamics
• On the general problem of quantum phase estimation

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