dorsal/arxiv
View SchemaExponential lower bound on the highest fidelity achievable by quantum error-correcting codes
| Authors | Mitsuru Hamada |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109114 |
| URL | https://arxiv.org/abs/quant-ph/0109114 |
| DOI | 10.1103/PhysRevA.65.052305 |
| Journal | Physical Review A, vol.65, 052305, May 2002 |
Abstract
On a class of memoryless quantum channels which includes the depolarizing channel, the highest fidelity of quantum error-correcting codes of length n and rate R is proven to be lower bounded by 1-exp[-nE(R)+o(n)] for some function E(R). The E(R) is positive below some threshold R', which implies R' is a lower bound on the quantum capacity.
{
"annotation_id": "e1fe6ebb-f3da-4d7f-8c78-7e89c164fcba",
"date_created": "2026-03-02T18:01:46.167000Z",
"date_modified": "2026-03-02T18:01:46.167000Z",
"file_hash": "dfa539a4c3c3ceb6d52a7e73a0ffd3a3f23eb719e77e9c1838e7e5e014991c76",
"private": false,
"record": {
"abstract": "On a class of memoryless quantum channels which includes the depolarizing\nchannel, the highest fidelity of quantum error-correcting codes of length n and\nrate R is proven to be lower bounded by 1-exp[-nE(R)+o(n)] for some function\nE(R). The E(R) is positive below some threshold R\u0027, which implies R\u0027 is a lower\nbound on the quantum capacity.",
"arxiv_id": "quant-ph/0109114",
"authors": [
"Mitsuru Hamada"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.052305",
"journal_ref": "Physical Review A, vol.65, 052305, May 2002",
"title": "Exponential lower bound on the highest fidelity achievable by quantum error-correcting codes",
"url": "https://arxiv.org/abs/quant-ph/0109114"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7d553235-58dc-4d26-bb38-442fc5d6e28f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}