{
  "annotation_id": "603c296c-f10b-48da-88f5-3c44f55c6d49",
  "date_created": "2026-03-02T18:01:45.530000Z",
  "date_modified": "2026-03-02T18:01:45.530000Z",
  "file_hash": "550e5b12639f450b100a87d99ce07d451c7581a6405273f134145f8c057bc5a8",
  "private": false,
  "record": {
    "abstract": "Various parameterizations for the orbits under local unitary transformations\nof three-qubit pure states are analyzed. The interconvertibility, symmetry\nproperties, parameter ranges, calculability and behavior under measurement are\nlooked at. It is shown that the entanglement monotones of any multipartite pure\nstate uniquely determine the orbit of that state under local unitary\ntransformations. It follows that there must be an entanglement monotone for\nthree-qubit pure states which depends on the Kempe invariant defined in [Phys.\nRev. A 60, 910 (1999)]. A form for such an entanglement monotone is proposed. A\ntheorem is proved that significantly reduces the number of entanglement\nmonotones that must be looked at to find the maximal probability of\ntransforming one multipartite state to another.",
    "arxiv_id": "quant-ph/0106042",
    "authors": [
      "Robert Gingrich"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.052302",
    "title": "Properties of Entanglement Monotones for Three-Qubit Pure States",
    "url": "https://arxiv.org/abs/quant-ph/0106042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1ccc7290-c45a-48fd-b798-e74cce42da44",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}