dorsal/arxiv
View SchemaUnified approach to quantum capacities: towards quantum noisy coding theorem
| Authors | Michal Horodecki, Pawel Horodecki, Ryszard Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003040 |
| URL | https://arxiv.org/abs/quant-ph/0003040 |
| DOI | 10.1103/PhysRevLett.85.433 |
Abstract
Basing on unified approach to {\it all} kinds of quantum capacities we show that the rate of quantum information transmission is bounded by the maximal attainable rate of coherent information. Moreover, we show that, if for any bipartite state the one-way distillable entanglement is no less than coherent information, then one obtains Shannon-like formulas for all the capacities. The inequality also implies that the decrease of distillable entanglement due to mixing process does not exceed of corresponding loss information about a system.
{
"annotation_id": "8c3ce97b-91f7-4dbb-a0d1-8be25382f09a",
"date_created": "2026-03-02T18:01:38.673000Z",
"date_modified": "2026-03-02T18:01:38.673000Z",
"file_hash": "ef44d51e0437811be1d2d040b304a7cd299b4f8ef3f80c90bcad92658deff250",
"private": false,
"record": {
"abstract": "Basing on unified approach to {\\it all} kinds of quantum capacities we show\nthat the rate of quantum information transmission is bounded by the maximal\nattainable rate of coherent information. Moreover, we show that, if for any\nbipartite state the one-way distillable entanglement is no less than coherent\ninformation, then one obtains Shannon-like formulas for all the capacities. The\ninequality also implies that the decrease of distillable entanglement due to\nmixing process does not exceed of corresponding loss information about a\nsystem.",
"arxiv_id": "quant-ph/0003040",
"authors": [
"Michal Horodecki",
"Pawel Horodecki",
"Ryszard Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.85.433",
"title": "Unified approach to quantum capacities: towards quantum noisy coding theorem",
"url": "https://arxiv.org/abs/quant-ph/0003040"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c69e68b9-9ec4-4ecb-8065-1712396b40b9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}