dorsal/arxiv
View SchemaGeneral formulas for capacity of classical-quantum channels
| Authors | Masahito Hayashi, Hiroshi Nagaoka |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206186 |
| URL | https://arxiv.org/abs/quant-ph/0206186 |
| DOI | 10.1109/ISIT.2002.1023343 |
| Journal | IEEE Transactions on Information Theory, Vol.49, No.7, pp.1753-1768 (2003) |
Abstract
The capacity of a classical-quantum channel (or in other words the classical capacity of a quantum channel) is considered in the most general setting, where no structural assumptions such as the stationary memoryless property are made on a channel. A capacity formula as well as a characterization of the strong converse property is given just in parallel with the corresponding classical results of Verd\'{u}-Han which are based on the so-called information-spectrum method. The general results are applied to the stationary memoryless case with or without cost constraint on inputs, whereby a deep relation between the channel coding theory and the hypothesis testing for two quantum states is elucidated. no structural assumptions such as the stationary memoryless property are made on a channel. A capacity formula as well as a characterization of the strong converse property is given just in parallel with the corresponding classical results of Verdu-Han which are based on the so-called information-spectrum method. The general results are applied to the stationary memoryless case with or without cost constraint on inputs, whereby a deep relation between the channel coding theory and the hypothesis testing for two quantum states is elucidated.
{
"annotation_id": "4789c969-a9d3-48dc-a7ca-36f8d52d732c",
"date_created": "2026-03-02T18:01:52.289000Z",
"date_modified": "2026-03-02T18:01:52.289000Z",
"file_hash": "0ed74193809b1d89881caae6f97de7c8fffa5e0a4d41733038c4db618d6ba8bc",
"private": false,
"record": {
"abstract": "The capacity of a classical-quantum channel (or in other words the classical\ncapacity of a quantum channel) is considered in the most general setting, where\nno structural assumptions such as the stationary memoryless property are made\non a channel. A capacity formula as well as a characterization of the strong\nconverse property is given just in parallel with the corresponding classical\nresults of Verd\\\u0027{u}-Han which are based on the so-called information-spectrum\nmethod. The general results are applied to the stationary memoryless case with\nor without cost constraint on inputs, whereby a deep relation between the\nchannel coding theory and the hypothesis testing for two quantum states is\nelucidated. no structural assumptions such as the stationary memoryless\nproperty are made on a channel. A capacity formula as well as a\ncharacterization of the strong converse property is given just in parallel with\nthe corresponding classical results of Verdu-Han which are based on the\nso-called information-spectrum method. The general results are applied to the\nstationary memoryless case with or without cost constraint on inputs, whereby a\ndeep relation between the channel coding theory and the hypothesis testing for\ntwo quantum states is elucidated.",
"arxiv_id": "quant-ph/0206186",
"authors": [
"Masahito Hayashi",
"Hiroshi Nagaoka"
],
"categories": [
"quant-ph"
],
"doi": "10.1109/ISIT.2002.1023343",
"journal_ref": "IEEE Transactions on Information Theory, Vol.49, No.7,\n pp.1753-1768 (2003)",
"title": "General formulas for capacity of classical-quantum channels",
"url": "https://arxiv.org/abs/quant-ph/0206186"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "72059fe6-f8bb-4c9c-a302-45f70e13079c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}