{
  "annotation_id": "d04c336b-dd4c-4593-ac9c-3693ba31ef1b",
  "date_created": "2026-03-02T18:01:42.599000Z",
  "date_modified": "2026-03-02T18:01:42.599000Z",
  "file_hash": "3230ae16c370b361261531caa3ee42e3a5d97cf0f4cb9fe942fd7131f632224a",
  "private": false,
  "record": {
    "abstract": "It is important to study the behavior of a t-error correcting quantum code\nwhen the number of errors is greater than t, because it is likely that there\nare also small errors besides t large correctable errors. We give a lower bound\nfor the fidelity of a t-error correcting stabilizer code over a general\nmemoryless channel, allowing more than t errors. We also show that the fidelity\ncan be made arbitrary close to 1 by increasing the code length.",
    "arxiv_id": "quant-ph/0011047",
    "authors": [
      "Ryutaroh Matsumoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.66.059901",
    "journal_ref": "Phys. Rev. A 64, 022314 (2001); Erratum: Phys. Rev. A 66, 059901\n  (2002).",
    "title": "Fidelity of a t-error correcting quantum code with more than t errors",
    "url": "https://arxiv.org/abs/quant-ph/0011047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b9199e07-51e6-4143-97b4-f0221c098fb3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}