dorsal/arxiv
View SchemaRemarks on Clifford codes
| Authors | Andreas Klappenecker, Martin Roetteler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312228 |
| URL | https://arxiv.org/abs/quant-ph/0312228 |
| Journal | Proceedings 2004 IEEE International Symposium on Information Theory (ISIT 2004), Chicago, USA, pp. 354, 2004 |
Abstract
Clifford codes are a class of quantum error control codes that form a natural generalization of stabilizer codes. These codes were introduced in 1996 by Knill, but only a single Clifford code was known, which is not already a stabilizer code. We derive a necessary and sufficient condition that allows to decide when a Clifford code is a stabilizer code, and compile a table of all true Clifford codes for error groups of small order.
{
"annotation_id": "c5e92339-3f7c-4ad1-bba1-2fd8420dc2ec",
"date_created": "2026-03-02T18:02:03.424000Z",
"date_modified": "2026-03-02T18:02:03.424000Z",
"file_hash": "505277c2e5d07d7d003e35c62a5a4cf36b5dfd49d577d5fde5beb353f6eea6a7",
"private": false,
"record": {
"abstract": "Clifford codes are a class of quantum error control codes that form a natural\ngeneralization of stabilizer codes. These codes were introduced in 1996 by\nKnill, but only a single Clifford code was known, which is not already a\nstabilizer code. We derive a necessary and sufficient condition that allows to\ndecide when a Clifford code is a stabilizer code, and compile a table of all\ntrue Clifford codes for error groups of small order.",
"arxiv_id": "quant-ph/0312228",
"authors": [
"Andreas Klappenecker",
"Martin Roetteler"
],
"categories": [
"quant-ph",
"cs.ET"
],
"journal_ref": "Proceedings 2004 IEEE International Symposium on Information\n Theory (ISIT 2004), Chicago, USA, pp. 354, 2004",
"title": "Remarks on Clifford codes",
"url": "https://arxiv.org/abs/quant-ph/0312228"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7f6437b2-c01d-4dae-963f-baafd8e85c8b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}