{
  "id": "1606.01848",
  "version": "v1",
  "published": "2016-06-06T18:02:43.000Z",
  "updated": "2016-06-06T18:02:43.000Z",
  "title": "Quantum State-Independent Contextuality Requires 13 Rays",
  "authors": [
    "Adán Cabello",
    "Matthias Kleinmann",
    "José R. Portillo"
  ],
  "comment": "8 pages, 2 tables, 1 figure",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We show that, regardless of the dimension of the Hilbert space, there exists no set of rays revealing state-independent contextuality with less than 13 rays. This implies that the set proposed by Yu and Oh in dimension three [Phys. Rev. Lett. 108, 030402 (2012)] is actually the minimal set in quantum theory. This contrasts with the case of Kochen-Specker sets, where the smallest set occurs in dimension four.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-06T18:02:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum state-independent contextuality",
      "rays revealing state-independent contextuality",
      "smallest set occurs",
      "hilbert space",
      "minimal set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}