dorsal/arxiv
View SchemaCoding Theorems for Quantum Channels
| Authors | Alexander S. Holevo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9809023 |
| URL | https://arxiv.org/abs/quant-ph/9809023 |
| DOI | 10.1070/RM1998v053n06ABEH000091 |
| Journal | Russian Math. Surveys, vol.53, no.6 (1998), 1295-1331 |
Abstract
The more than thirty years old issue of the (classical) information capacity of quantum communication channels was dramatically clarified during the last years, when a number of direct quantum coding theorems was discovered. The present paper gives a self contained treatment of the subject, following as much in parallel as possible with classical information theory and, on the other side, stressing profound differences of the quantum case. An emphasis is made on recent results, such as general quantum coding theorems including cases of infinite (possibly continuous) alphabets and constrained inputs, reliability function for pure state channels and quantum Gaussian channel. Several still unsolved problems are briefly outlined.
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"abstract": "The more than thirty years old issue of the (classical) information capacity\nof quantum communication channels was dramatically clarified during the last\nyears, when a number of direct quantum coding theorems was discovered. The\npresent paper gives a self contained treatment of the subject, following as\nmuch in parallel as possible with classical information theory and, on the\nother side, stressing profound differences of the quantum case. An emphasis is\nmade on recent results, such as general quantum coding theorems including cases\nof infinite (possibly continuous) alphabets and constrained inputs, reliability\nfunction for pure state channels and quantum Gaussian channel. Several still\nunsolved problems are briefly outlined.",
"arxiv_id": "quant-ph/9809023",
"authors": [
"Alexander S. Holevo"
],
"categories": [
"quant-ph"
],
"doi": "10.1070/RM1998v053n06ABEH000091",
"journal_ref": "Russian Math. Surveys, vol.53, no.6 (1998), 1295-1331",
"title": "Coding Theorems for Quantum Channels",
"url": "https://arxiv.org/abs/quant-ph/9809023"
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