dorsal/arxiv
View SchemaAdditivity for a class of unital qubit channels
| Authors | C. King |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103156 |
| URL | https://arxiv.org/abs/quant-ph/0103156 |
| DOI | 10.1063/1.1500791 |
Abstract
Additivity of the Holevo capacity is proved for product channels, under the condition that one of the channels is in a certain class of unital qubit channels, with the other completely arbitrary. This qubit class includes the depolarizing channel. As a byproduct this proves that the Holevo bound is the ultimate information capacity of such qubit channels (assuming no prior entanglement between sender and receiver). Additivity of minimal entropy and multiplicativity of p-norms are also proved under the same assumptions.
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"abstract": "Additivity of the Holevo capacity is proved for product channels, under the\ncondition that one of the channels is in a certain class of unital qubit\nchannels, with the other completely arbitrary. This qubit class includes the\ndepolarizing channel. As a byproduct this proves that the Holevo bound is the\nultimate information capacity of such qubit channels (assuming no prior\nentanglement between sender and receiver). Additivity of minimal entropy and\nmultiplicativity of p-norms are also proved under the same assumptions.",
"arxiv_id": "quant-ph/0103156",
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"doi": "10.1063/1.1500791",
"title": "Additivity for a class of unital qubit channels",
"url": "https://arxiv.org/abs/quant-ph/0103156"
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