dorsal/arxiv
View SchemaCoding Theorems of Quantum Information Theory
| Authors | Andreas Winter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907077 |
| URL | https://arxiv.org/abs/quant-ph/9907077 |
Abstract
Coding theorems and (strong) converses for memoryless quantum communication channels and quantum sources are proved: for the quantum source the coding theorem is reviewed, and the strong converse proven. For classical information transmission via quantum channels we give a new proof of the coding theorem, and prove the strong converse, even under the extended model of nonstationary channels. As a by-product we obtain a new proof of the famous Holevo bound. Then multi-user systems are investigated, and the capacity region for the quantum multiple access channel is determined. The last chapter contains a preliminary discussion of some models of compression of correlated quantum sources, and a proposal for a program to obtain operational meaning for quantum conditional entropy. An appendix features the introduction of a notation and calculus of entropy in quantum systems.
{
"annotation_id": "5a83afda-0d35-4f52-ba41-908e4ac6bd75",
"date_created": "2026-03-02T18:02:48.456000Z",
"date_modified": "2026-03-02T18:02:48.456000Z",
"file_hash": "638bd2bfc862490fcc3d76b26935bd2453b307cb28f9f39f566a14fe9d509abb",
"private": false,
"record": {
"abstract": "Coding theorems and (strong) converses for memoryless quantum communication\nchannels and quantum sources are proved: for the quantum source the coding\ntheorem is reviewed, and the strong converse proven. For classical information\ntransmission via quantum channels we give a new proof of the coding theorem,\nand prove the strong converse, even under the extended model of nonstationary\nchannels. As a by-product we obtain a new proof of the famous Holevo bound.\nThen multi-user systems are investigated, and the capacity region for the\nquantum multiple access channel is determined. The last chapter contains a\npreliminary discussion of some models of compression of correlated quantum\nsources, and a proposal for a program to obtain operational meaning for quantum\nconditional entropy. An appendix features the introduction of a notation and\ncalculus of entropy in quantum systems.",
"arxiv_id": "quant-ph/9907077",
"authors": [
"Andreas Winter"
],
"categories": [
"quant-ph"
],
"title": "Coding Theorems of Quantum Information Theory",
"url": "https://arxiv.org/abs/quant-ph/9907077"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2bf99adc-7b5a-42e3-bb51-c2633d049f13",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}