{
  "annotation_id": "820f35f7-5abe-4964-9fc2-c220f86d74bb",
  "date_created": "2026-03-02T18:01:39.259000Z",
  "date_modified": "2026-03-02T18:01:39.259000Z",
  "file_hash": "25a4fcd8f8862a7f30c0c769c89f8e7a7706ff4b044e7a636c8f9cc136b2c4a6",
  "private": false,
  "record": {
    "abstract": "For a simple model of mutually interacting qubits it is shown how the errors\ninduced by mutual interactions can be eliminated using concatenated coding. The\nmodel is solved exactly for arbitrary interaction strength, for two well-known\ncodes, one and two levels deep: this allows one to see under which\ncircumstances error amplitudes add coherently or incoherently. For deeper\nconcatenation, approximate results are derived which make it possible to\ncalculate an approximate ``threshold\u0027\u0027 value for the product of interaction\nstrength and free evolution time, below which the failure probability for an\nencoded qubit decreases exponentially with the depth of the encoding. The\nresults suggest that concatenated coding could fully handle the errors arising\nfrom mutual interactions, at no extra cost, in terms of resources needed, from\nwhat would be required to deal with random environmental errors.",
    "arxiv_id": "quant-ph/0008027",
    "authors": [
      "Julio Gea-Banacloche"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.62.062313",
    "title": "Error correction for mutually interacting qubits",
    "url": "https://arxiv.org/abs/quant-ph/0008027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0bc63051-0ef4-4d20-9d6e-ecc094bbf6c4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}