{
  "annotation_id": "09b0632c-7250-448d-a09d-659bfcab0001",
  "date_created": "2026-03-02T18:01:48.275000Z",
  "date_modified": "2026-03-02T18:01:48.275000Z",
  "file_hash": "5581bf5899747ac07194d9e72559c55cb71618ab9bb54f227570624b527c2652",
  "private": false,
  "record": {
    "abstract": "To explore the limitation of a class of quantum algorithms originally\nproposed for the Hilbert\u0027s tenth problem, we consider two further classes of\nmathematically non-decidable problems, those of a modified version of the\nHilbert\u0027s tenth problem and of the computation of the Chaitin\u0027s $\\Omega$\nnumber, which is a representation of the G\\\"odel\u0027s Incompletness theorem. Some\ninteresting connection to Quantum Field Theory is pointed out.",
    "arxiv_id": "quant-ph/0111062",
    "authors": [
      "Tien D Kieu"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Hilbert\u0027s Incompleteness, Chaitin\u0027s $\\Omega$ number and Quantum Physics",
    "url": "https://arxiv.org/abs/quant-ph/0111062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a3b9a669-129a-40b2-be67-106a91b9026b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}