{
  "annotation_id": "8d70ca32-9bea-4bf1-a628-f1379a2d78ca",
  "date_created": "2026-03-02T18:02:16.541000Z",
  "date_modified": "2026-03-02T18:02:16.541000Z",
  "file_hash": "f9576dac5a0ecb0409a87b5068988192c8a00c9ba9ba397febc766b6153c656d",
  "private": false,
  "record": {
    "abstract": "We critically examine the internal consistency of a set of minimal\nassumptions entering the theory of fault-tolerant quantum error correction for\nMarkovian noise. These assumptions are: fast gates, a constant supply of fresh\nand cold ancillas, and a Markovian bath. We point out that these assumptions\nmay not be mutually consistent in light of rigorous formulations of the\nMarkovian approximation. Namely, Markovian dynamics requires either the\nsingular coupling limit (high temperature), or the weak coupling limit (weak\nsystem-bath interaction). The former is incompatible with the assumption of a\nconstant and fresh supply of cold ancillas, while the latter is inconsistent\nwith fast gates. We discuss ways to resolve these inconsistencies. As part of\nour discussion we derive, in the weak coupling limit, a new master equation for\na system subject to periodic driving.",
    "arxiv_id": "quant-ph/0506201",
    "authors": [
      "R. Alicki",
      "D. A. Lidar",
      "P. Zanardi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.052311",
    "journal_ref": "Phys. Rev. A 73, 052311 (2006)",
    "title": "Internal Consistency of Fault-Tolerant Quantum Error Correction in Light   of Rigorous Derivations of the Quantum Markovian Limit",
    "url": "https://arxiv.org/abs/quant-ph/0506201"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "504e4b41-dc7f-4d7a-a91d-b8e46ee354d2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}