{
  "annotation_id": "a35b125d-0174-4a52-94e4-55da120e6a20",
  "date_created": "2026-03-02T18:02:48.378000Z",
  "date_modified": "2026-03-02T18:02:48.378000Z",
  "file_hash": "aeb745ff20419144fb597f4073e3d53d2f697867263d47f2613e753466acb453",
  "private": false,
  "record": {
    "abstract": "Consider three qubits A, B, and C which may be entangled with each other. We\nshow that there is a trade-off between A\u0027s entanglement with B and its\nentanglement with C. This relation is expressed in terms of a measure of\nentanglement called the \"tangle,\" which is related to the entanglement of\nformation. Specifically, we show that the tangle between A and B, plus the\ntangle between A and C, cannot be greater than the tangle between A and the\npair BC. This inequality is as strong as it could be, in the sense that for any\nvalues of the tangles satisfying the corresponding equality, one can find a\nquantum state consistent with those values. Further exploration of this result\nleads to a definition of the \"three-way tangle\" of the system, which is\ninvariant under permutations of the qubits.",
    "arxiv_id": "quant-ph/9907047",
    "authors": [
      "Valerie Coffman",
      "Joydip Kundu",
      "William K. Wootters"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.61.052306",
    "journal_ref": "Phys.Rev.A61:052306,2000",
    "title": "Distributed Entanglement",
    "url": "https://arxiv.org/abs/quant-ph/9907047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0742d8a2-1ed6-41d6-bba0-7087a6b99a7d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}