{
  "annotation_id": "af23d50d-b920-4a76-9740-749b3b61a85d",
  "date_created": "2026-03-02T18:01:56.510000Z",
  "date_modified": "2026-03-02T18:01:56.510000Z",
  "file_hash": "f30d0e707280f36434b71ab8a175118b1e1048be62632bc7e8a3802692600c00",
  "private": false,
  "record": {
    "abstract": "We describe explicitly the algebra of polynomial functions on the Hilbert\nspace of four qubit states which are invariant under the SLOCC group\n$SL(2,{\\mathbb C})^{4}$. From this description, we obtain a closed formula for\nthe hyperdeterminant in terms of low degree invariants.",
    "arxiv_id": "quant-ph/0212069",
    "authors": [
      "J. -G. Luque",
      "J. -Y. Thibon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.042303",
    "journal_ref": "Physical Review A 67 (2003), 042303, 1-5",
    "title": "The polynomial invariants of four qubits",
    "url": "https://arxiv.org/abs/quant-ph/0212069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ae59a784-e5ec-40ee-8d6e-c2be6d89334c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}