dorsal/arxiv
View SchemaTopological Quantum Error Correction with Optimal Encoding Rate
| Authors | H. Bombin, M. A. Martin-Delgado |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602063 |
| URL | https://arxiv.org/abs/quant-ph/0602063 |
| DOI | 10.1103/PhysRevA.73.062303 |
| Journal | Phys.Rev.A73:062303,2006 |
Abstract
We prove the existence of topological quantum error correcting codes with encoding rates $k/n$ asymptotically approaching the maximum possible value. Explicit constructions of these topological codes are presented using surfaces of arbitrary genus. We find a class of regular toric codes that are optimal. For physical implementations, we present planar topological codes.
{
"annotation_id": "63187350-4c1a-4d1e-b4ac-c922ec77e9d9",
"date_created": "2026-03-02T18:02:23.619000Z",
"date_modified": "2026-03-02T18:02:23.619000Z",
"file_hash": "8da7905ef866a6fdc06eac2d1382a902dd5865979723c6fe244c31dfde3715db",
"private": false,
"record": {
"abstract": "We prove the existence of topological quantum error correcting codes with\nencoding rates $k/n$ asymptotically approaching the maximum possible value.\nExplicit constructions of these topological codes are presented using surfaces\nof arbitrary genus. We find a class of regular toric codes that are optimal.\nFor physical implementations, we present planar topological codes.",
"arxiv_id": "quant-ph/0602063",
"authors": [
"H. Bombin",
"M. A. Martin-Delgado"
],
"categories": [
"quant-ph",
"cond-mat.str-el",
"cs.GR",
"hep-th",
"math-ph",
"math.AT",
"math.CO",
"math.MP"
],
"doi": "10.1103/PhysRevA.73.062303",
"journal_ref": "Phys.Rev.A73:062303,2006",
"title": "Topological Quantum Error Correction with Optimal Encoding Rate",
"url": "https://arxiv.org/abs/quant-ph/0602063"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1476c30c-4f4e-4baf-ad57-59f76c945099",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}