{
  "annotation_id": "9f780bef-b5e6-4876-85ef-1248fa4358e4",
  "date_created": "2026-03-02T18:02:13.077000Z",
  "date_modified": "2026-03-02T18:02:13.077000Z",
  "file_hash": "1d0f095a73cc5f0fb21353631ccd1b41404e0bfcafa16c3c03da2f1cf3272afa",
  "private": false,
  "record": {
    "abstract": "Two methods for constructing quantum LDPC codes are presented. We explain how\nto overcome the difficulty of finding a set of low weight generators for the\nstabilizer group of the code. Both approaches are based on some graph\nrepresentation of the generators of the stabilizer group and on simple local\nrules that ensure commutativity. A message passing algorithm for generic\nquantum LDPC codes is also introduced. Finally, we provide two specific\nexamples of quantum LDPC codes of rate 1/2 obtained by our methods, together\nwith a numerical simulation of their performance over the depolarizing channel.",
    "arxiv_id": "quant-ph/0502086",
    "authors": [
      "T. Camara",
      "H. Ollivier",
      "J. -P. Tillich"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Constructions and performance of classes of quantum LDPC codes",
    "url": "https://arxiv.org/abs/quant-ph/0502086"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "abba9516-54af-41b6-8ee0-fcae12349f4f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}