dorsal/arxiv
View SchemaStill more on norms of completely positive maps
| Authors | Stanislaw J. Szarek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603110 |
| URL | https://arxiv.org/abs/quant-ph/0603110 |
| Journal | Proceedings of IWOTA 2008, Operator Theory: Advances and Applications, Vol. 202, Birkhauser 2009, 535-538 |
Abstract
King and Ruskai asked whether the norm of a completely positive map acting between Schatten classes of operators is equal to that of its restriction to the real subspace of self-adjoint operators. Proofs have been promptly supplied by Watrous and Audenaert. Here we provide one more proof, in fact of a slightly more general fact, under the (slightly weaker) assumption of 2-positivity. The argument is elementary and self-contained.
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"abstract": "King and Ruskai asked whether the norm of a completely positive map acting\nbetween Schatten classes of operators is equal to that of its restriction to\nthe real subspace of self-adjoint operators. Proofs have been promptly supplied\nby Watrous and Audenaert. Here we provide one more proof, in fact of a slightly\nmore general fact, under the (slightly weaker) assumption of 2-positivity. The\nargument is elementary and self-contained.",
"arxiv_id": "quant-ph/0603110",
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"journal_ref": "Proceedings of IWOTA 2008, Operator Theory: Advances and\n Applications, Vol. 202, Birkhauser 2009, 535-538",
"title": "Still more on norms of completely positive maps",
"url": "https://arxiv.org/abs/quant-ph/0603110"
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