{
  "annotation_id": "7b0fd308-a30e-41a8-a11d-0c2bc085a6aa",
  "date_created": "2026-03-02T18:02:03.427000Z",
  "date_modified": "2026-03-02T18:02:03.427000Z",
  "file_hash": "c265fffdaf62964d7e7d1f752fff7eaedc85bd71235077d1949c1ac11466b502",
  "private": false,
  "record": {
    "abstract": "We derive inequalities for $n$ spin-1/2 systems under the assumption that the\nhidden-variable theoretical joint probability distribution for any pair of\ncommuting observables is equal to the quantum mechanical one. Fine showed that\nthis assumption is connected to the no-hidden-variables theorem of Kochen and\nSpecker (KS theorem). These inequalities give a way to experimentally test the\nKS theorem. The fidelity to the Bell states which is larger than 1/2 is\nsufficient for the experimental confirmation of the KS theorem. Hence, the\nWerner state is enough to test experimentally the KS theorem. Furthermore, it\nis possible to test the KS theorem experimentally using uncorrelated states. An\n$n$-partite uncorrelated state violates the $n$-partite inequality derived here\nby an amount that grows exponentially with $n$.",
    "arxiv_id": "quant-ph/0312052",
    "authors": [
      "Koji Nagata"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2081115",
    "journal_ref": "J. Math. Phys. 46, 102101 (2005)",
    "title": "Inequalities for experimental tests of the Kochen-Specker theorem",
    "url": "https://arxiv.org/abs/quant-ph/0312052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1e135a0b-231e-4b3f-a686-f4c512342310",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}