{
  "annotation_id": "63ea6fbc-395a-4faf-bdc5-c0ad598acd0a",
  "date_created": "2026-03-02T18:02:37.838000Z",
  "date_modified": "2026-03-02T18:02:37.838000Z",
  "file_hash": "1ee6ff95e50329622a387ba018b787540568fb70f6c3ff6a2482bb9fffb42e81",
  "private": false,
  "record": {
    "abstract": "I make a rough estimate of the accuracy threshold for fault tolerant quantum\ncomputing with concatenated codes. First I consider only gate errors and use\nthe depolarizing channel error model. I will follow P.Shor (quant-ph/9505011)\nfor fault tolerant error correction (FTEC) and the fault tolerant\nimplementation of elementary operations on states encoded by the 7-qubit code.\nA simple computer simulation suggests a threshold for gate errors of the order\n\\epsilon \\approx 10^{-3} or better. I also give a simple argument that the\nthreshold for memory errors is about 10 times smaller, thus \\epsilon \\approx\n10^{-4}.",
    "arxiv_id": "quant-ph/9612028",
    "authors": [
      "Christof Zalka"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Threshold Estimate for Fault Tolerant Quantum Computation",
    "url": "https://arxiv.org/abs/quant-ph/9612028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "14ff4c39-6398-473a-bf3a-40f50664d306",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}