{
  "annotation_id": "b434afc2-e92c-46ad-815f-ad80c24f76a5",
  "date_created": "2026-03-02T18:02:19.900000Z",
  "date_modified": "2026-03-02T18:02:19.900000Z",
  "file_hash": "7a2ef59da4a7396040069c74640622a721be979bc7a632fdee53efcf6488fac8",
  "private": false,
  "record": {
    "abstract": "We show that some two-party Bell inequalities with two-valued observables are\nstronger than the CHSH inequality for 3 \\otimes 3 isotropic states in the sense\nthat they are violated by some isotropic states in the 3 \\otimes 3 system that\ndo not violate the CHSH inequality. These Bell inequalities are obtained by\napplying triangular elimination to the list of known facet inequalities of the\ncut polytope on nine points. This gives a partial solution to an open problem\nposed by Collins and Gisin. The results of numerical optimization suggest that\nthey are candidates for being stronger than the I_3322 Bell inequality for 3\n\\otimes 3 isotropic states. On the other hand, we found no Bell inequalities\nstronger than the CHSH inequality for 2 \\otimes 2 isotropic states. In\naddition, we illustrate an inclusion relation among some Bell inequalities\nderived by triangular elimination.",
    "arxiv_id": "quant-ph/0508210",
    "authors": [
      "Tsuyoshi Ito",
      "Hiroshi Imai",
      "David Avis"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.042109",
    "title": "Bell inequalities stronger than the CHSH inequality for 3-level   isotropic states",
    "url": "https://arxiv.org/abs/quant-ph/0508210"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e1f0115-948d-44fe-981e-9de20cf1b4ab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}