dorsal/arxiv
View SchemaOn complementary channels and the additivity problem
| Authors | A. S. Holevo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509101 |
| URL | https://arxiv.org/abs/quant-ph/0509101 |
| Journal | Probab. Theory and Appl., v. 51, 133-143, 2005 |
Abstract
We explore complementarity between output and environment of a quantum channel (or, more generally, CP map), making an observation that the output purity characteristics for complementary CP maps coincide. Hence, validity of the mutiplicativity/additivity conjecture for a class of CP maps implies its validity for complementary maps. The class of CP maps complementary to entanglement-breaking ones is described and is shown to contain diagonal CP maps as a proper subclass, resulting in new class of CP maps (channels) for which the multiplicativity/additivity holds. Covariant and Gaussian channels are discussed briefly in this context.
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"abstract": "We explore complementarity between output and environment of a quantum\nchannel (or, more generally, CP map), making an observation that the output\npurity characteristics for complementary CP maps coincide. Hence, validity of\nthe mutiplicativity/additivity conjecture for a class of CP maps implies its\nvalidity for complementary maps. The class of CP maps complementary to\nentanglement-breaking ones is described and is shown to contain diagonal CP\nmaps as a proper subclass, resulting in new class of CP maps (channels) for\nwhich the multiplicativity/additivity holds. Covariant and Gaussian channels\nare discussed briefly in this context.",
"arxiv_id": "quant-ph/0509101",
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"A. S. Holevo"
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"journal_ref": "Probab. Theory and Appl., v. 51, 133-143, 2005",
"title": "On complementary channels and the additivity problem",
"url": "https://arxiv.org/abs/quant-ph/0509101"
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