{
  "annotation_id": "79fb044a-4267-46b9-b5f0-132bcc8ef2eb",
  "date_created": "2026-03-02T18:01:56.618000Z",
  "date_modified": "2026-03-02T18:01:56.618000Z",
  "file_hash": "b6d9a544f858fd5d2cb7d78ff7643fdb5466e4b195743791c9e8a2a23d753ef5",
  "private": false,
  "record": {
    "abstract": "We classify multipartite entanglement in a unified manner, focusing on a\nduality between the set of separable states and that of entangled states.\nHyperdeterminants, derived from the duality, are natural generalizations of\nentanglement measures, the concurrence, 3-tangle for 2, 3 qubits respectively.\nOur approach reveals how inequivalent multipartite entangled classes of pure\nstates constitute a partially ordered structure under local actions,\nsignificantly different from a totally ordered one in the bipartite case.\nMoreover, the generic entangled class of the maximal dimension, given by the\nnonzero hyperdeterminant, does not include the maximally entangled states in\nBell\u0027s inequalities in general (e.g., in the 4 or more qubits), contrary to the\nwidely known bipartite or 3-qubit cases. It suggests that not only are they\nnever locally interconvertible with the majority of multipartite entangled\nstates, but they would have no grounds for the canonical n-partite entangled\nstates. Our classification is also useful for that of mixed states.",
    "arxiv_id": "quant-ph/0212146",
    "authors": [
      "Akimasa Miyake",
      "Miki Wadati"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quant. Info. Comp. 2 (Special), 540-555 (2002)",
    "title": "Multipartite Entanglement and Hyperdeterminants",
    "url": "https://arxiv.org/abs/quant-ph/0212146"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "78893901-68a0-4de7-b883-81e5acf85756",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}