{
  "annotation_id": "87262ea2-c7d3-43cc-84cd-625a9ae08345",
  "date_created": "2026-03-02T18:02:47.645000Z",
  "date_modified": "2026-03-02T18:02:47.645000Z",
  "file_hash": "87723265ea14be860a625d4f25cbbca269d48115c43d9f85a6603ce80cc4d3d5",
  "private": false,
  "record": {
    "abstract": "In a recent article [Phys. Rev. A 54, 1793 (1996)] Krenn and Zeilinger\ninvestigated the conditional two-particle correlations for the subensemble of\ndata obtained by selecting the results of the spin measurements by two\nobservers 1 and 2 with respect to the result found in the corresponding\nmeasurement by a third observer. In this paper we write out explicitly the\ncondition required in order for the selected results of observers 1 and 2 to\nviolate Bell\u0027s inequality for general measurement directions. It is shown that\nthere are infinitely many sets of directions giving the maximum level of\nviolation. Further, we extend the analysis by the authors to the class of\ntriorthogonal states |Psi\u003e = c_1 |z_1\u003e|z_2\u003e|z_3\u003e + c_2 |-z_1\u003e|-z_2\u003e|-z_3\u003e. It\nis found that a maximal violation of Bell\u0027s inequality occurs provided the\ncorresponding three-particle state yields a direct (\"all or nothing\")\nnonlocality contradiction.",
    "arxiv_id": "quant-ph/9905095",
    "authors": [
      "Jose L. Cereceda"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.56.1733",
    "journal_ref": "Phys.Rev.A56:1733-1738,1997",
    "title": "Two-particle entanglement as a property of three-particle entangled   states",
    "url": "https://arxiv.org/abs/quant-ph/9905095"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3b38d10d-e55c-4d3a-8167-ec3f9890ff57",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}