{
  "annotation_id": "e1f2416f-cf14-43a8-bc30-93a22cb66098",
  "date_created": "2026-03-02T18:02:02.725000Z",
  "date_modified": "2026-03-02T18:02:02.725000Z",
  "file_hash": "c3ef5063b919238a51ea7a1aa84de333c00e14370450e570b54860d43805ba7b",
  "private": false,
  "record": {
    "abstract": "We present probabilistic analysis of the Greenberger-Horne-Zeilinger (GHZ)\nscheme in the contextualist framework, namely under the assumption that\ndistributions of hidden variables depend on settings of measurement devices. On\none hand, we found classes of probability distributions of hidden variables for\nthat the GHZ scheme does not imply a contradiction between the local realism\nand quantum formalism. On the other hand, we found classes of probability\ndistributions of hidden variables for that the GHZ scheme still induce such a\ncontradiction (despite variations of distributions). It is also demonstrated\nthat (well known in probability theory) singularity/absolute continuity\ndichotomy for probability distributions is closely related to the GHZ paradox.\nOur conjecture is that this GHZ-coupling between singularity/absolute\ncontinuity dichotomy and incompatible/compatible measurements might be a\ngeneral feature of quantum theory.",
    "arxiv_id": "quant-ph/0309065",
    "authors": [
      "Andrei Khrennikov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(00)00804-5",
    "journal_ref": "Physics Letters A, v. 278, p.307-314, 2001",
    "title": "Contextualist viewpoint to Greenberger-Horne-Zeilinger paradox",
    "url": "https://arxiv.org/abs/quant-ph/0309065"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "88c91994-9119-4213-9f1c-c8af694de8ca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}