Extremal covariant positive operator valued measures: the case of a compact symmetry group

Abstract

Given a unitary representation U of a compact group G and a transitive G-space $\Omega$, we characterize the extremal elements of the convex set of all U-covariant positive operator valued measures.

minor corrections in version 2

References in corpus (2)

• Extremal covariant POVM's
• A note on infinite extreme correlation matrices

Cited by in corpus (4)

• On quantum channels generated by covariant positive operator-valued measures on a locally compact group
• Extreme Covariant Quantum Observables in the Case of an Abelian Symmetry Group and a Transitive Value Space
• Optimal covariant measurements: the case of a compact symmetry group and phase observables
• Extreme phase and rotated quadrature measurements