{
  "annotation_id": "766b69a3-5ce6-4b10-805e-3f261860d142",
  "date_created": "2026-03-02T18:02:13.328000Z",
  "date_modified": "2026-03-02T18:02:13.328000Z",
  "file_hash": "3bfb7931badbdf7addba165fcd98734429d1817a2caa98be5874b5470cc236fb",
  "private": false,
  "record": {
    "abstract": "We present a unified approach to quantum error correction, called operator\nquantum error correction. This scheme relies on a generalized notion of\nnoiseless subsystems that is not restricted to the commutant of the interaction\nalgebra. We arrive at the unified approach, which incorporates the known\ntechniques -- i.e. the standard error correction model, the method of\ndecoherence-free subspaces, and the noiseless subsystem method -- as special\ncases, by combining active error correction with this generalized noiseless\nsubsystem method. Moreover, we demonstrate that the quantum error correction\ncondition from the standard model is a necessary condition for all known\nmethods of quantum error correction.",
    "arxiv_id": "quant-ph/0412076",
    "authors": [
      "David Kribs",
      "Raymond Laflamme",
      "David Poulin"
    ],
    "categories": [
      "quant-ph",
      "math.FA",
      "math.OA"
    ],
    "doi": "10.1103/PhysRevLett.94.180501",
    "journal_ref": "Phys. Rev. Lett. 94, 180501 (2005)",
    "title": "A Unified and Generalized Approach to Quantum Error Correction",
    "url": "https://arxiv.org/abs/quant-ph/0412076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "29391a22-c091-4f11-9c5a-7ac554c4c1fe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}