{
  "abstract": "We present a real-time FPGA decoder for a high-rate $[[512,174,8]]$ 3D product qLDPC code. We construct a circuit-level detector-error model for a compact syndrome-extraction schedule and propose a small parallel ensemble of row-wise serial min-sum decoders with cumulative memory. The decoder matches $\\text{BP+OSD-CS}_\\text{10}$ accuracy with one core and Relay-BP accuracy with three cores. The FPGA implementation meets the latency budget of neutral-atom and trapped-ion systems. An ASIC implementation would improve the latency, enabling real time decoding even for superconducting systems. At a physical error rate of $p=10^{-3}$, three FPGA devices decode 174 logical qubits with a logical error rate of $5\\times10^{-7}$ and effective distance 6. For $p=10^{-4}$, and assuming the number of BP iterations is capped to 30, the decoder's average latency is $5.1\\,$\\textmu s and its worst-case latency is $97.9\\,$\\textmu s.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41413",
  "author_total": 7,
  "authors": [
    {
      "name": "Andreas Kell"
    },
    {
      "name": "Daniel Herr"
    },
    {
      "name": "Daniel Bascones García"
    },
    {
      "name": "Alexandru Paler"
    },
    {
      "name": "Davide Orsucci"
    },
    {
      "name": "Francisco Lázaro"
    },
    {
      "name": "Francisco García Herrero"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5dksn902qbt1w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41413",
  "fulltext_url": null,
  "id": "5dksn902qbt1w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41413",
  "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/2610.41413",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5dksn902qbt1w.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.41413",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41413"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Real-time BP decoding of a high-rate QEC code",
  "title_text": "Real-time BP decoding of a high-rate QEC code",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/5dksn902qbt1w",
  "venue": "arXiv",
  "versions": []
}