{
  "annotation_id": "a92e9c89-260d-4029-91f4-c8d9d0523384",
  "date_created": "2026-03-02T18:02:27.229000Z",
  "date_modified": "2026-03-02T18:02:27.229000Z",
  "file_hash": "9652895bc7a9647dad6a6aa400a666a7cc33dca9204ce8261734de2e11de231a",
  "private": false,
  "record": {
    "abstract": "We generalize the Greenberger-Horne-Zeilinger nonlocality without\ninequalities argument to cover the case of arbitrary mixed statistical\noperators associated to three-qubits quantum systems. More precisely, we\ndetermine the radius of a ball (in the trace distance topology) surrounding the\npure GHZ state and containing arbitrary mixed statistical operators which\ncannot be described by any local and realistic hidden variable model and which\nare, as a consequence, noncompletely separable. As a practical application, we\nfocus on certain one-parameter classes of mixed states which are commonly\nconsidered in the experimental realization of the original GHZ argument and\nwhich result from imperfect preparations of the pure GHZ state. In these cases\nwe determine for which values of the parameter controlling the noise a\nnonlocality argument can still be exhibited, despite the mixedness of the\nconsidered states. Moreover, the effect of the imperfect nature of measurement\nprocesses is discussed.",
    "arxiv_id": "quant-ph/0603196",
    "authors": [
      "GianCarlo Ghirardi",
      "Luca Marinatto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.022101",
    "journal_ref": "Physical Review A 74, 1 (2006)",
    "title": "Greenberger-Horne-Zeilinger argument of nonlocality without inequalities   for mixed states",
    "url": "https://arxiv.org/abs/quant-ph/0603196"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4fb0a510-925d-426b-8c51-5552631e2a42",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}