{
  "annotation_id": "2177414b-a08f-49d1-b2e7-a937f4cedd18",
  "date_created": "2026-03-02T18:02:06.346000Z",
  "date_modified": "2026-03-02T18:02:06.346000Z",
  "file_hash": "accb8d30c7624e2651ebaac120f9a4c67a2757b127e4ed23d7d057051ca8cc6d",
  "private": false,
  "record": {
    "abstract": "In [Phys. Rev. A 58, 1833 (1998)] a family of polynomial invariants which\nseparate the orbits of multi-qubit density operators $\\rho$ under the action of\nthe local unitary group was presented. We consider this family of invariants\nfor the class of those $\\rho$ which are the projection operators describing\nstabilizer codes and give a complete translation of these invariants into the\nbinary framework in which stabilizer codes are usually described. Such an\ninvestigation of local invariants of quantum codes is of natural importance in\nquantum coding theory, since locally equivalent codes have the same\nerror-correcting capabilities and local invariants are powerful tools to\nexplore their structure. Moreover, the present result is relevant in the\ncontext of multipartite entanglement and the development of the\nmeasurement-based model of quantum computation known as the one-way quantum\ncomputer.",
    "arxiv_id": "quant-ph/0404106",
    "authors": [
      "Maarten Van den Nest",
      "Jeroen Dehaene",
      "Bart De Moor"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.032323",
    "journal_ref": "Phys. Rev A 70, 032323 (2004)",
    "title": "Local invariants of stabilizer codes",
    "url": "https://arxiv.org/abs/quant-ph/0404106"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2a31b6ac-283c-47b7-812f-c547fc7deea8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}