{
  "abstract": "We first provide a simple proof showing that any single-shot code is self-correcting. We then show that any $[[n,k]]$ CSS quantum low-density parity-check (QLDPC) code can be transformed into an $[[nm,k]]$ CSS QLDPC code with single-shot (SS) quantum error correction and an efficient local decoder which runs in $O(\\log m)$ parallel time. Below a constant threshold $p_{\\rm RG}>0$ for joint local stochastic physical and measurement noise, the logical failure probability over $T$ correction rounds is bounded by \\begin{equation*} O(T n)\\exp[-Ω(m^α)] \\end{equation*} for a constant $α>0$; we say that the \\textit{threshold} is $p_{\\rm RG}$ and \\textit{error suppression} is $Ω(m^α)$. Moreover, if the input code is equipped with a single-shot decoder with threshold $p_c>0$ and error suppression $Ω(n^β)$, then the output code \\textit{enhances} the error suppression to $Ω(m^α n^β)$, while maintaining the decoder-independent threshold $p_{\\rm RG}$, and thus \\textit{enhanced} if $p_c < p_{\\rm RG}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02137",
  "author_total": 1,
  "authors": [
    {
      "name": "Andrew C. Yuan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cm2ef8a49f3zz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02137",
  "fulltext_url": null,
  "id": "cm2ef8a49f3zz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.02137",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7216013435",
  "pdf_url": "https://arxiv.org/pdf/2610.02137",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cm2ef8a49f3zz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.02137",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02137"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "One-Shot any Code",
  "title_text": "One-Shot any Code",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/cm2ef8a49f3zz",
  "venue": "arXiv",
  "versions": []
}