{
  "annotation_id": "e3e72487-a65b-40a0-922a-e56735319dd5",
  "date_created": "2026-03-02T18:02:23.902000Z",
  "date_modified": "2026-03-02T18:02:23.902000Z",
  "file_hash": "a94f16adf724e9dbd3175e010eae249936a92a2ca0bae07dade3920dad702d3e",
  "private": false,
  "record": {
    "abstract": "We generalize Hardy\u0027s proof of nonlocality to the case of bipartite mixed\nstatistical operators, and we exhibit a necessary condition which has to be\nsatisfied by any given mixed state $\\sigma$ in order that a local and realistic\nhidden variable model exists which accounts for the quantum mechanical\npredictions implied by $\\sigma$. Failure of this condition will imply both the\nimpossibility of any local explanation of certain joint probability\ndistributions in terms of hidden variables and the nonseparability of the\nconsidered mixed statistical operator. Our result can be also used to determine\nthe maximum amount of noise, arising from imperfect experimental\nimplementations of the original Hardy\u0027s proof of nonlocality, in presence of\nwhich it is still possible to put into evidence the nonlocal features of\ncertain mixed states.",
    "arxiv_id": "quant-ph/0603171",
    "authors": [
      "GianCarlo Ghirardi",
      "Luca Marinatto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.032102",
    "journal_ref": "Phys. Rev. A 73, 032102 (2006)",
    "title": "Hardy\u0027s criterion of nonlocality for mixed states",
    "url": "https://arxiv.org/abs/quant-ph/0603171"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "482aaddd-107b-4ea0-8c66-52679266fa15",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}