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Extremal covariant POVM's

Authors
  • Chiribella, Giulio
  • D'Ariano, Giacomo Mauro
Type
Published Article
Publication Date
Jun 30, 2004
Submission Date
Jun 30, 2004
Identifiers
DOI: 10.1063/1.1806262
arXiv ID: quant-ph/0406237
Source
arXiv
License
Unknown
External links

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.

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