{
  "annotation_id": "d69717fc-b54a-4560-9546-7542f73f8219",
  "date_created": "2026-03-02T18:02:03.543000Z",
  "date_modified": "2026-03-02T18:02:03.543000Z",
  "file_hash": "96fcd6def4472a3a499d29604644dde8ed63266af2f134b252c35da596670d72",
  "private": false,
  "record": {
    "abstract": "We present an analysis of the structure of Bell inequalities, mainly for the\ncase of N qubits with two observables each. We show that these inequalities are\nrelated to Hadamard matrices and define Bell polynomials (in one variable) as\nan additional tool. With these aids we raise several conditions the\ncoefficients of Bell inequalities must satisfy, and recursively generate the\nwhole set of inequalities starting from N=1. Moreover, we prove some\ncharacteristic features of this set, such as that most of the inequalities\ncontain all expectation values under consideration. Finally, we show how the\npresented results can be used to construct Bell inequalities with certain\nproperties. An outlook on further research topics concludes the paper.",
    "arxiv_id": "quant-ph/0312117",
    "authors": [
      "Guenter Schachner"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The structure of Bell inequalities",
    "url": "https://arxiv.org/abs/quant-ph/0312117"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "80aa6c59-a148-479b-a5cc-81d88427c231",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}