{
  "annotation_id": "7b372423-6514-498b-8bc7-d601053b0443",
  "date_created": "2026-03-02T18:01:59.487000Z",
  "date_modified": "2026-03-02T18:01:59.487000Z",
  "file_hash": "e6603cefde52a292d9d57b468754847085e02701bdfe733ffc698de380e47fa2",
  "private": false,
  "record": {
    "abstract": "We computationally investigate the complete polytope of Bell inequalities for\n2 particles with small numbers of possible measurements and outcomes. Our\napproach is limited by Pitowsky\u0027s connection of this problem to the\ncomputationally hard NP problem. Despite this, we find that there are very few\nrelevant inequivalent inequalities for small numbers. For example, in the case\nwith 3 possible 2-outcome measurements on each particle, there is just one new\ninequality. We describe mixed 2-qubit states which violate this inequality but\nnot the CHSH. The new inequality also illustrates a sharing of bi-partite\nnon-locality between three qubits: something not seen using the CHSH\ninequality. It also inspires us to discover a class of Bell inequalities with m\npossible n-outcome measurements on each particle.",
    "arxiv_id": "quant-ph/0306129",
    "authors": [
      "Daniel Collins",
      "Nicolas Gisin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/5/021",
    "journal_ref": "J. Phys. A: Math. Gen. 37, 1775 (2004)",
    "title": "A Relevant Two Qubit Bell Inequality Inequivalent to the CHSH Inequality",
    "url": "https://arxiv.org/abs/quant-ph/0306129"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0480666d-c90c-4e53-ad59-0152bde17850",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}