{
  "id": "quant-ph/9706009",
  "version": "v1",
  "published": "1997-06-03T16:56:27.000Z",
  "updated": "1997-06-03T16:56:27.000Z",
  "title": "Bell-Kochen-Specker theorem: A proof with 18 vectors",
  "authors": [
    "Adan Cabello",
    "Jose M. Estebaranz",
    "Guillermo Garcia Alcaine"
  ],
  "comment": "LaTeX, 10 pages",
  "journal": "Phys.Lett. A212 (1996) 183",
  "doi": "10.1016/0375-9601(96)00134-X",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We present a ``state-independent'' proof of the Bell-Kochen-Specker theorem using only 18 four-dimensional vectors, which is a record for this kind of proof. This set of vectors contains subsets which allow us to develop a ``state-specific'' proof with 10 vectors (also a record) and a ``probabilistic'' proof with 7 vectors which reflects the algebraic structure of Hardy's nonlocality theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-06-03T16:56:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bell-kochen-specker theorem",
      "hardys nonlocality theorem",
      "vectors contains subsets",
      "four-dimensional vectors",
      "algebraic structure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 443948
    }
  }
}