{
  "annotation_id": "dabfb75d-ad38-4cce-95d9-c224bc31eabe",
  "date_created": "2026-03-02T18:02:15.957000Z",
  "date_modified": "2026-03-02T18:02:15.957000Z",
  "file_hash": "b7caabc81b9a71e4a743d6568f6ba250b8e786f35ff064203ad9572d60835e52",
  "private": false,
  "record": {
    "abstract": "We introduce inequalities for multi-partite entanglement, derived from the\ngeometry of spin vectors. The criteria are constructed iteratively from cross\nand dot products between the spins of individual subsystems, each of which may\nhave arbitrary dimension. For qubit ensembles the maximum violation for our\ninequalities is larger than that for the Mermin-Klyshko Bell inequalities, and\nthe maximally violating states are different from Greenberger-Horne-Zeilinger\nstates. Our inequalities are violated by certain bound entangled states for\nwhich no Bell-type violation has yet been found.",
    "arxiv_id": "quant-ph/0504072",
    "authors": [
      "Gabriel A. Durkin",
      "Christoph Simon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.95.180402",
    "journal_ref": "Phys. Rev. Lett. 95 180402 (October 2005)",
    "title": "Multi-Partite Entanglement Inequalities via Spin Vector Geometry",
    "url": "https://arxiv.org/abs/quant-ph/0504072"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eeb5bcbd-5b05-43e2-a314-8e2f50a38ed9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}