{
  "annotation_id": "035712dc-b3eb-400d-8886-7b490c2a3ddd",
  "date_created": "2026-03-02T18:02:37.920000Z",
  "date_modified": "2026-03-02T18:02:37.920000Z",
  "file_hash": "d5ad45b38308cd7d08adb4c0f5584ff10a1428fb01f44ba5837ede611cd610c1",
  "private": false,
  "record": {
    "abstract": "The construction of large, coherent quantum systems necessary for quantum\ncomputation remains an entreating but elusive goal, due to the ubiquitous\nnature of decoherence. Recent progress in quantum error correction schemes have\ngiven new hope to this field, but thus far, the codes presented in the\nliterature assume a restricted number of errors and error free encoding,\ndecoding, and measurement. We investigate a specific scenario without these\nassumptions; in particular, we evaluate a scheme to preserve a single quantum\nbit against phase damping using a three-qubit encoding based on Shor. By\napplying a new formalism which gives simple operators for decoherence and noisy\nlogic gates, we find the fidelity of the stored qubit as a function of time,\nincluding decoherence which occurs not only during storage but also during\nprocessing. We generalize our results to include any source of error, and\nderive an upper limit on the allowable decoherence per timestep. Physically,\nour results suggest the feasibility of engineering artificial metastable states\nthrough repeated error correction.",
    "arxiv_id": "quant-ph/9604030",
    "authors": [
      "Isaac L. Chuang",
      "Yoshihisa Yamamoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The Persistent Quantum Bit",
    "url": "https://arxiv.org/abs/quant-ph/9604030"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "130baeff-6791-439f-be5c-ff3138a3b416",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}