{
  "annotation_id": "d6995b76-358b-41cb-8010-794449581b37",
  "date_created": "2026-03-02T18:02:41.296000Z",
  "date_modified": "2026-03-02T18:02:41.296000Z",
  "file_hash": "d2132987daea384ee3df644e5d786cad3db901f77f19eebd4320ad05226474f6",
  "private": false,
  "record": {
    "abstract": "Instead of a quantum computer where the fundamental units are 2-dimensional\nqubits, we can consider a quantum computer made up of d-dimensional systems.\nThere is a straightforward generalization of the class of stabilizer codes to\nd-dimensional systems, and I will discuss the theory of fault-tolerant\ncomputation using such codes. I prove that universal fault-tolerant computation\nis possible with any higher-dimensional stabilizer code for prime d.",
    "arxiv_id": "quant-ph/9802007",
    "authors": [
      "Daniel Gottesman"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0960-0779(98)00218-5",
    "journal_ref": "Chaos Solitons Fractals 10:1749-1758,1999",
    "title": "Fault-Tolerant Quantum Computation with Higher-Dimensional Systems",
    "url": "https://arxiv.org/abs/quant-ph/9802007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b4e617e2-7f17-4a7c-9f4c-4ec09c5209e0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}