{
  "annotation_id": "3cafba9b-cbca-4b11-a22e-1508a2beca01",
  "date_created": "2026-03-02T18:02:38.026000Z",
  "date_modified": "2026-03-02T18:02:38.026000Z",
  "file_hash": "7de8d8561e6676b5e25ae5e702e1c38e3dc1a27ad83cb339a5986b335762f11f",
  "private": false,
  "record": {
    "abstract": "A generalized Kochen-Specker theorem is proved. It is shown that there exist\nsets of $n$ projection operators, representing $n$ yes-no questions about a\nquantum system, such that none of the $2^n$ possible answers is compatible with\nsum rules imposed by quantum mechanics. Namely, if a subset of commuting\nprojection operators sums up to a matrix having only even or only odd\neigenvalues, the number of ``yes\u0027\u0027 answers ought to be even or odd,\nrespectively. This requirement may lead to contradictions. An example is\nprovided, involving nine projection operators in a 4-dimensional space.",
    "arxiv_id": "quant-ph/9510018",
    "authors": [
      "Asher Peres"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/BF02058634",
    "journal_ref": "Found.Phys. 26 (1996) 807-812",
    "title": "Generalized Kochen-Specker Theorem",
    "url": "https://arxiv.org/abs/quant-ph/9510018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "108f86c2-2c39-485a-9aa8-956accbd76c9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}