dorsal/arxiv
View SchemaExtremal covariant quantum operations and POVM's
| Authors | Giacomo Mauro D'Ariano |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310024 |
| URL | https://arxiv.org/abs/quant-ph/0310024 |
| Journal | J. Math. Phys. 45 3620-3635 (2004) |
Abstract
We consider the convex sets of QO's (quantum operations) and POVM's (positive operator valued measures) which are covariant under a general finite-dimensional unitary representation of a group. We derive necessary and sufficient conditions for extremality, and give general bounds for ranks of the extremal POVM's and QO's. Results are illustrated on the basis of simple examples.
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"abstract": "We consider the convex sets of QO\u0027s (quantum operations) and POVM\u0027s (positive\noperator valued measures) which are covariant under a general\nfinite-dimensional unitary representation of a group. We derive necessary and\nsufficient conditions for extremality, and give general bounds for ranks of the\nextremal POVM\u0027s and QO\u0027s. Results are illustrated on the basis of simple\nexamples.",
"arxiv_id": "quant-ph/0310024",
"authors": [
"Giacomo Mauro D\u0027Ariano"
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"journal_ref": "J. Math. Phys. 45 3620-3635 (2004)",
"title": "Extremal covariant quantum operations and POVM\u0027s",
"url": "https://arxiv.org/abs/quant-ph/0310024"
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