{
  "annotation_id": "bb5d82f0-a673-4dd5-9dbe-12005758954b",
  "date_created": "2026-03-02T18:02:38.182000Z",
  "date_modified": "2026-03-02T18:02:38.182000Z",
  "file_hash": "635e0687e580694454cd6da7028140c505b31286ecf03f7720a9ca243dc4dfce",
  "private": false,
  "record": {
    "abstract": "We examine the transformation of noise under a quantum error correcting code\n(QECC) concatenated repeatedly with itself, by analyzing the effects of a\nquantum channel after each level of concatenation using recovery operators that\nare optimally adapted to use error syndrome information from the previous\nlevels of the code. We use the Shannon entropy of these channels to estimate\nthe thresholds of correctable noise for QECCs and find considerable\nimprovements under this adaptive concatenation. Similar methods could be used\nto increase quantum fault tolerant thresholds.",
    "arxiv_id": "quant-ph/0703258",
    "authors": [
      "Jesse Fern"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.77.010301",
    "journal_ref": "Phys. Rev. A 77, 010301(R) (2008)",
    "title": "Correctable noise of Quantum Error Correcting Codes under adaptive   concatenation",
    "url": "https://arxiv.org/abs/quant-ph/0703258"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c13129df-673b-47cd-92e0-3d1911fd463e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}