{
  "annotation_id": "29b4c39c-6719-40be-a534-723309212133",
  "date_created": "2026-03-02T18:01:41.433000Z",
  "date_modified": "2026-03-02T18:01:41.433000Z",
  "file_hash": "3ef1882f0ce7cdf62ea9896de3e9bde490c6ba46781bdf67ff85010d09f0d76c",
  "private": false,
  "record": {
    "abstract": "Knill introduced a generalization of stabilizer codes, in this note called\nClifford codes. It remained unclear whether or not Clifford codes can be\nsuperior to stabilizer codes. We show that Clifford codes are stabilizer codes\nprovided that the abstract error group has an abelian index group. In\nparticular, if the errors are modelled by tensor products of Pauli matrices,\nthen the associated Clifford codes are necessarily stabilizer codes.",
    "arxiv_id": "quant-ph/0010076",
    "authors": [
      "Andreas Klappenecker",
      "Martin Roetteler"
    ],
    "categories": [
      "quant-ph",
      "cs.ET"
    ],
    "journal_ref": "IEEE Transactions on Information Theory, vol. 48, no. 8, pp.\n  2396-2399, 2002",
    "title": "Beyond Stabilizer Codes II: Clifford Codes",
    "url": "https://arxiv.org/abs/quant-ph/0010076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9dd1bab6-6f19-4abc-933d-e4eb9e350468",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}