{
  "annotation_id": "01f44179-f65b-4015-b60c-406f1faa5b40",
  "date_created": "2026-03-02T18:02:23.776000Z",
  "date_modified": "2026-03-02T18:02:23.776000Z",
  "file_hash": "c22693a9e6b732a1413f99013a894125fb862c086cb21ecc8c74678bf8d5e3af",
  "private": false,
  "record": {
    "abstract": "For a nonseparable bipartite quantum state violating the\nClauser-Horne-Shimony-Holt (CHSH) inequality, we evaluate amounts of noise\nbreaking the quantum character of its statistical correlations under any\ngeneralized quantum measurements of Alice and Bob. Expressed in terms of the\nreduced states, these new threshold bounds can be easily calculated for any\nconcrete bipartite state. A noisy bipartite state, satisfying the extended CHSH\ninequality and the perfect correlation form of the original Bell inequality for\nany quantum observables, neither necessarily admits a local hidden variable\nmodel nor exhibits the perfect correlation of outcomes whenever the same\nquantum observable is measured on both \"sides\".",
    "arxiv_id": "quant-ph/0512245",
    "authors": [
      "Elena R. Loubenets"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/18/024",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006), 5115-5123.",
    "title": "Threshold bounds for noisy bipartite states",
    "url": "https://arxiv.org/abs/quant-ph/0512245"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e62527d0-fad8-4df5-aecb-766bbe168658",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}