{
  "annotation_id": "c52cefb8-ab4b-432e-bbdb-33c2d55084ad",
  "date_created": "2026-03-02T18:01:59.881000Z",
  "date_modified": "2026-03-02T18:01:59.881000Z",
  "file_hash": "08a18bb338ee1590660f3a0b7723b51fda74deb65155fb3eabc4959667e2d2be",
  "private": false,
  "record": {
    "abstract": "We generalize the correlation functions of the Clauser-Horne-Shimony-Holt\n(CHSH) inequality to arbitrarily high-dimensional systems. Based on this\ngeneralization, we construct the general CHSH inequality for bipartite quantum\nsystems of arbitrarily high dimensionality, which takes the same simple form as\nCHSH inequality for two-dimension. This inequality is optimal in the same sense\nas the CHSH inequality for two dimensional systems, namely, the maximal amount\nby which the inequality is violated consists with the maximal resistance to\nnoise. We also discuss the physical meaning and general definition of the\ncorrelation functions. Furthermore, by giving another specific set of the\ncorrelation functions with the same physical meaning, we realize the inequality\npresented in [Phys. Rev. Lett. {\\bf 88,}040404 (2002)].",
    "arxiv_id": "quant-ph/0306102",
    "authors": [
      "Li-Bin Fu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.92.130404",
    "journal_ref": "Phys. Rev. Lett. 92, 130404 (2004)",
    "title": "General correlation functions of the Clauser-Horne-Shimony-Holt   inequality for arbitrarily high-dimensional systems",
    "url": "https://arxiv.org/abs/quant-ph/0306102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9344a148-d785-4af2-958d-b92fb6dcf3f4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}