{
  "annotation_id": "ba7ba8cb-e707-46d7-9700-0d6433339134",
  "date_created": "2026-03-02T18:02:23.292000Z",
  "date_modified": "2026-03-02T18:02:23.292000Z",
  "file_hash": "f36c04f25efe8d2807424007e068691ded3dcae2b5789a829fa8cfdcee26e3b0",
  "private": false,
  "record": {
    "abstract": "The best upper bound for the violation of the Clauser-Horne-Shimony-Holt\n(CHSH) inequality was first derived by Tsirelson. For increasing number of $\\pm\n1$ valued observables on both sites of the correlation experiment, Tsirelson\nobtained the Grothendieck\u0027s constant ($\\mathcal{K}_{G}\\approx 1.73\\pm0.06$) as\na limit for the maximal violation. In this paper, we construct a generalization\nof the CHSH inequality with four $\\pm 1$ valued observables on both sites of a\ncorrelation experiment and show that the quantum violation approaching 1.58.\nMoreover, we estimate the maximal quantum violation of a correlation experiment\nfor large and equal number of $\\pm 1$ valued observables on both sites. In this\ncase, the maximal quantum violation converges to $\\sqrt{3}\\approx1.73$ for very\nlarge $n$, which coincides with the approximate value of Grothendieck\u0027s\nconstant.",
    "arxiv_id": "quant-ph/0603050",
    "authors": [
      "Hoshang Heydari"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/38/012",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 11869-11875",
    "title": "Quantum Violation: Beyond Clauser-Horne-Shimony-Holt Inequality",
    "url": "https://arxiv.org/abs/quant-ph/0603050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "517340c7-5549-43d8-8db0-3e77510666f5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}