{
  "annotation_id": "a4a000a8-455c-4a3b-8bdf-de4fe1275294",
  "date_created": "2026-03-02T18:02:06.637000Z",
  "date_modified": "2026-03-02T18:02:06.637000Z",
  "file_hash": "f9510f4c5b2ac1e55b9a162b8306da7c4b4cbe80e6cc11f12bb307e44e0976eb",
  "private": false,
  "record": {
    "abstract": "The effect of noise on a quantum system can be described by a set of\noperators obtained from the interaction Hamiltonian. Recently it has been shown\nthat generalized quantum error correcting codes can be derived by studying the\nalgebra of this set of operators. This led to the discovery of noiseless\nsubsystems. They are described by a set of operators obtained from the\ncommutant of the noise generators. In this paper we derive a general method to\ncompute the structure of this commutant in the case of unital noise.",
    "arxiv_id": "quant-ph/0402056",
    "authors": [
      "J. A. Holbrook",
      "D. W. Kribs",
      "R. Laflamme"
    ],
    "categories": [
      "quant-ph",
      "math.OA"
    ],
    "journal_ref": "Quant. Inf. Proc., 2 (2004), 381-419.",
    "title": "Noiseless subsystems and the structure of the commutant in quantum error   correction",
    "url": "https://arxiv.org/abs/quant-ph/0402056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eac0eaea-1cac-4b7f-86a8-3199111843d4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}