|
| related topics |
| {states, state, optimal} |
| {group, space, representation} |
| {let, theorem, proof} |
| {measurement, state, measurements} |
| {information, entropy, channel} |
| {bell, inequality, local} |
| {observables, space, algebra} |
| {key, protocol, security} |
|
Extremal covariant POVM's
Giulio Chiribella, Giacomo Mauro D'Ariano
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0406237
- categories:
- quant-ph
- comments:
- 15 pages, no figures
- doi:
- 10.1063/1.1806262
- arxiv_id:
- quant-ph/0406237
- journal_ref:
- J. Math. Phys. 45, 4435 (2004)
- created:
- 2004-06-30
Full article ▸
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