{
  "annotation_id": "252271f1-d08d-4e59-beca-be602d6649fb",
  "date_created": "2026-03-02T18:01:42.591000Z",
  "date_modified": "2026-03-02T18:01:42.591000Z",
  "file_hash": "29290b8d02fd874763f77498432958239a18a43ba7ecbf574fa60a730f168b90",
  "private": false,
  "record": {
    "abstract": "In this paper is shown an application of Clifford algebras to the\nconstruction of computationally universal sets of quantum gates for $n$-qubit\nsystems. It is based on the well-known application of Lie algebras together\nwith the especially simple commutation law for Clifford algebras, which states\nthat all basic elements either commute or anticommute.",
    "arxiv_id": "quant-ph/0010071",
    "authors": [
      "Alexander Yu. Vlasov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.054302",
    "journal_ref": "Phys. Rev. A 63 (2001) 054302",
    "title": "Clifford algebras and universal sets of quantum gates",
    "url": "https://arxiv.org/abs/quant-ph/0010071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "233d4bcb-a089-4e5c-ad9a-f925321a59e9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}