{
  "annotation_id": "da94b9eb-8477-4eae-9084-228d8f3bc481",
  "date_created": "2026-03-02T18:02:20.540000Z",
  "date_modified": "2026-03-02T18:02:20.540000Z",
  "file_hash": "3c2248e5c9e213145ea57d112096cf47a8829937aab05e0fbe72302d7cfaeb92",
  "private": false,
  "record": {
    "abstract": "We investigate the maximal violation of Bell inequalities for two\n$d$-dimensional systems by using the method of Bell operator. The maximal\nviolation corresponds to the maximal eigenvalue of the Bell operator matrix.\nThe eigenvectors corresponding to these eigenvalues are described by asymmetric\nentangled states. We estimate the maximum value of the eigenvalue for large\ndimension. A family of elegant entangled states $|\\Psi\u003e_{\\rm app}$ that violate\nBell inequality more strongly than the maximally entangled state but are\nsomewhat close to these eigenvectors is presented. These approximate states can\npotentially be useful for quantum cryptography as well as many other important\nfields of quantum information.",
    "arxiv_id": "quant-ph/0507227",
    "authors": [
      "Jing-Ling Chen",
      "Chunfeng Wu",
      "L. C. Kwek",
      "C. H. Oh",
      "Mo-Lin Ge"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.032106",
    "journal_ref": "PHYSICAL REVIEW A 74, 032106 (2006)",
    "title": "Violating Bell Inequalities Maximally for Two $d$-Dimensional Systems",
    "url": "https://arxiv.org/abs/quant-ph/0507227"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "faed9e1b-3842-40f7-bc0f-72d7d94fe36f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}