{
  "annotation_id": "4e87eb92-4459-471a-b71b-562027f8257f",
  "date_created": "2026-03-02T18:02:06.348000Z",
  "date_modified": "2026-03-02T18:02:06.348000Z",
  "file_hash": "135b2cfd8f267a62714ada537ed4152b93d59b237b705b8479981b3581fad809",
  "private": false,
  "record": {
    "abstract": "Relatively few families of Bell inequalities have previously been identified.\nSome examples are the trivial, CHSH, I_{mm22}, and CGLMP inequalities. This\npaper presents a large number of new families of tight Bell inequalities for\nthe case of many observables. For example, 44,368,793 inequivalent tight Bell\ninequalities other than CHSH are obtained for the case of 2 parties each with\n10 2-valued observables. This is accomplished by first establishing a\nrelationship between the Bell inequalities and the facets of the cut polytope,\na well studied object in polyhedral combinatorics. We then prove a theorem\nallowing us to derive new facets of cut polytopes from facets of smaller\npolytopes by a process derived from Fourier-Motzkin elimination, which we call\ntriangular elimination. These new facets in turn give new tight Bell\ninequalities. We give additional results for projections, liftings, and the\ncomplexity of membership testing for the associated Bell polytope.",
    "arxiv_id": "quant-ph/0404014",
    "authors": [
      "David Avis",
      "Hiroshi Imai",
      "Tsuyoshi Ito",
      "Yuuya Sasaki"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Deriving Tight Bell Inequalities for 2 Parties with Many 2-valued   Observables from Facets of Cut Polytopes",
    "url": "https://arxiv.org/abs/quant-ph/0404014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c91c2754-476f-40a9-a91d-8dbc33e87745",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}