{
  "annotation_id": "060d901a-1d3d-4b58-97a8-9cd8209933ea",
  "date_created": "2026-03-02T18:02:24.235000Z",
  "date_modified": "2026-03-02T18:02:24.235000Z",
  "file_hash": "c2a2f1ba8856fcc66870ad4b02cc6324a0cc0acdaf9c202ac0dc95054b7f61ec",
  "private": false,
  "record": {
    "abstract": "The equivalence problem under local unitary transformation for $n$--partite\npure states is reduced to the one for $(n-1)$--partite mixed states. In\nparticular, a tripartite system\n$\\mathcal{H}_A\\otimes\\mathcal{H}_B\\otimes\\mathcal{H}_C$, where $\\mathcal{H}_j$\nis a finite dimensional complex Hilbert space for $j=A,B,C$, is considered and\na set of invariants under local transformations is introduced, which is\ncomplete for the set of states whose partial trace with respect to\n$\\mathcal{H}_A$ belongs to the class of generic mixed states.",
    "arxiv_id": "quant-ph/0512083",
    "authors": [
      "Sergio Albeverio",
      "Laura Cattaneo",
      "Shao-Ming Fei",
      "Xiao-Hong Wang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0034-4877(05)80089-8",
    "journal_ref": "Rep. Math. Phys. 56 (2005) 341-350",
    "title": "Multipartite states under local unitary transformations",
    "url": "https://arxiv.org/abs/quant-ph/0512083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "005c2289-97ab-42d3-b5b9-0ec411352592",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}