{
  "annotation_id": "43d142d1-4def-4258-9066-c193b455132d",
  "date_created": "2026-03-02T18:02:33.509000Z",
  "date_modified": "2026-03-02T18:02:33.509000Z",
  "file_hash": "676d3d9a57c7eb2a8cdd7cc48ec7b50b7e80d740e1d658e4310976d5448d6f6b",
  "private": false,
  "record": {
    "abstract": "Bipartite quantum entanglement for qutrits and higher-dimensional objects is\nconsidered. We analyze the possibility of violation of monogamy inequality,\nintroduced by Coffman, Kundu, and Wootters, for some systems composed of such\nobjects. An explicit counterexample with a three-qutrit totally antisymmetric\nstate is presented. Since three-tangle has been confirmed to be a natural\nmeasure of entanglement for qubit systems, our result shows that the\nthree-tangle is no longer a legitimate measure of entanglement for states with\nthree qutrits or higher dimensional objects.",
    "arxiv_id": "quant-ph/0612127",
    "authors": [
      "Yong-Cheng Ou"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.034305",
    "journal_ref": "75, 034305(2007) Physical Review A",
    "title": "Violation of monogamy inequality for higher-dimensional objects",
    "url": "https://arxiv.org/abs/quant-ph/0612127"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b33f47c6-b627-41b6-a667-61981e9556e8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}