{
  "abstract": "We propose a quantum architecture that achieves addressable and parallel universal fault-tolerant logical in high-rate codes. The codes are obtained from the flexible concatenation of small-distance high-rate self-dual CSS codes. Addressable and parallel universal logic on the resulting $K$ logical qubits is injected by fault-tolerantly preparing and then consuming diverse logical $K$-qubit CSS stabilizer states and logical $\\lvert H \\rangle^{\\otimes K}$ global magic states. Flag-at-origin is used to prepare the stabilizer resource states while a concatenated cultivation protocol prepares the global magic states. These resource states are consumed by Steane-QEC or Knill-QEC teleportation gadgets, which simultaneously perform quantum error correction. Any quantum algorithm with $T$-depth $D_T$ can be executed by consuming $12D_T$ or fewer resource states. We benchmark the fault-tolerant preparation of the resource states for several two-level concatenations of the $[[k+4,k,2]]$ H codes and the Hamming $[[15,7,3]]$ code. In particular, we find that the concatenated cultivation offers at least one order of magnitude spacetime reduction compared to cultivation in the surface code.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30087",
  "author_total": 3,
  "authors": [
    {
      "name": "Joseph Sullivan"
    },
    {
      "name": "David Amaro"
    },
    {
      "name": "Michael A. Perlin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b1sxhzgrb1yjj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30087",
  "fulltext_url": null,
  "id": "b1sxhzgrb1yjj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30087",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7223245576",
  "pdf_url": "https://arxiv.org/pdf/2610.30087",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b1sxhzgrb1yjj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:19Z",
      "native_id": "2610.30087",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30087"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Injection is all you need: parallel universal logic in high-rate concatenated self-dual codes",
  "title_text": "Injection is all you need: parallel universal logic in high-rate concatenated self-dual codes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/b1sxhzgrb1yjj",
  "venue": "arXiv",
  "versions": []
}