{
  "abstract": "Heralded atom loss is a dominant noise channel in neutral atom quantum computing platforms, and losses at a two-qubit gate are strongly correlated: when one atom is lost, its gate partner is often lost too. This work shows how to exploit this correlation to construct a better decoder, focusing on [[144,12,12]] Gross code syndrome extraction circuits. Given a loss readout, the possible pairings of the lost qubits according to shared gates form a graph whose maximum matchings carry almost all of the conditional probability mass. Our maximal-matching-mixture (MMM) decoder builds a per-readout decoding hypergraph as a weighted mixture over exactly these loss scenarios. This decoding hypergraph can be used by an ordinary belief-propagation decoder. On the [[144,12,12]] Gross code, MMM lowers the logical error rate by as much as ~25x relative to a loss-unaware decoder and ~2x relative to a loss-aware uniform-mixture baseline from Baranes et al. (2026).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38283",
  "author_total": 1,
  "authors": [
    {
      "name": "Jacob W. Murri"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4erqefbtv69xz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38283",
  "fulltext_url": null,
  "id": "4erqefbtv69xz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38283",
  "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",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38283",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4erqefbtv69xz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.38283",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38283"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Maximally-Matched Mixture Decoding for Correlated Atom Loss in Quantum LDPC Codes",
  "title_text": "Maximally-Matched Mixture Decoding for Correlated Atom Loss in Quantum LDPC Codes",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:44Z",
  "url": "https://research.draconitic.com/paper/4erqefbtv69xz",
  "venue": "arXiv",
  "versions": []
}