{
  "annotation_id": "14890b07-0f0d-41ee-b82e-6cd6901e01b7",
  "date_created": "2026-03-02T18:02:26.465000Z",
  "date_modified": "2026-03-02T18:02:26.465000Z",
  "file_hash": "ba007cef6c473ad43a82341663fb4aba9d99fb8328997aacd8246931ae063b9f",
  "private": false,
  "record": {
    "abstract": "We propose an inductive procedure to classify N-partite entanglement under\nstochastic local operations and classical communication (SLOCC) provided such a\nclassification is known for N-1 qubits. The method is based upon the analysis\nof the coefficient matrix of the state in an arbitrary product basis. We\nillustrate this approach in detail with the well-known bi- and tripartite\nsystems, obtaining as a by-product a systematic criterion to establish the\nentanglement class of a given pure state without resourcing to any entanglement\nmeasure. The general case is proved by induction, allowing us to find an upper\nbound for the number of N-partite entanglement classes in terms of the number\nof entanglement classes for N-1 qubits.",
    "arxiv_id": "quant-ph/0603243",
    "authors": [
      "L. Lamata",
      "J. Leon",
      "D. Salgado",
      "E. Solano"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.052336",
    "journal_ref": "Phys. Rev. A 74, 052336 (2006)",
    "title": "Inductive classification of multipartite entanglement under SLOCC",
    "url": "https://arxiv.org/abs/quant-ph/0603243"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c933670b-3dbb-43f7-a01e-0ca643bb105e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}