{
  "annotation_id": "60618e3a-593b-41e2-b681-a85631b0e82f",
  "date_created": "2026-03-02T18:01:56.067000Z",
  "date_modified": "2026-03-02T18:01:56.067000Z",
  "file_hash": "5a55ebe803b0d1a66cc6545c086c0a0c50156ba99c4a2aac6611b7e439ae2711",
  "private": false,
  "record": {
    "abstract": "We introduce a nonsymmetric real matrix which contains all the information\nthat the usual Hermitian density matrix does, and which has exactly the same\ntensor product structure. The properties of this matrix are analyzed in detail\nin the case of multi-qubit (e.g. spin = 1/2) systems, where the transformation\nbetween the real and Hermitian density matrices is given explicitly as an\noperator sum, and used to convert the essential equations of the density matrix\nformalism into the real domain.",
    "arxiv_id": "quant-ph/0302176",
    "authors": [
      "Timothy F. Havel"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quantum Information Processing 1:511-38, 2003 (see\n  http://www.kluweronline.com/issn/1570-0755)",
    "title": "The Real Density Matrix",
    "url": "https://arxiv.org/abs/quant-ph/0302176"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d8abe0eb-1824-4d11-bbde-92a62b8e46f8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}