{
  "annotation_id": "b5546232-93d4-4d3c-9703-44636ebe96fb",
  "date_created": "2026-03-02T18:02:09.928000Z",
  "date_modified": "2026-03-02T18:02:09.928000Z",
  "file_hash": "b39d51edf0395b5d764b6880b0f61c928de9919dce1b7ed2a1518f179faa8701",
  "private": false,
  "record": {
    "abstract": "For linear combinations of quantum product averages in an arbitrary bipartite\nstate, we derive new quantum Bell-form and CHSH-form inequalities with the\nright-hand sides expressed in terms of a bipartite state. This allows us to\nspecify in a general setting bipartite state properties sufficient for the\nvalidity of a classical CHSH-form inequality and the perfect correlation form\nof the original Bell inequality for any bounded quantum observables. We also\nintroduce a new general condition on a bipartite state and quantum observables\nsufficient for the validity of the original Bell inequality, in its perfect\ncorrelation or anticorrelation forms. Under this general sufficient condition,\na bipartite quantum state does not necessarily exhibit perfect correlations or\nanticorrelations.",
    "arxiv_id": "quant-ph/0406139",
    "authors": [
      "Elena R. Loubenets"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.4064/bc73",
    "journal_ref": "Banach Center Publ. vol. 73, 325-337 (2006) Proc. 25th QP Conf.,\n  June 2004, Poland",
    "title": "Quantum states satisfying classical probability constraints",
    "url": "https://arxiv.org/abs/quant-ph/0406139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6478cfdd-e4b9-4c44-be3a-a4f49c4dcb88",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}