{
  "abstract": "The Eastin-Knill theorem rules out a universal set of transversal logical gates on any code that detects single-qubit errors. The theorem constrains one partition of the qubits at a time. We show that depth-one layers of few-qubit gates, each respecting its own partition, can together generate a universal logical gate set on an error-correcting code. Each logical gate generator is then a single depth-one layer followed by error correction of the same stabilizer code, with no magic-state distillation, code switching, gauge fixing, lattice surgery, or other gadgets. We show that such codes can be found by applying an entangling circuit to a lower-distance \"seed\" code admitting a depth-one non-Clifford gate and an appropriate \"kernel\" code. We construct 47 codes with depth-one generating sets that tolerate at least one faulty gate per layer, including a [[37,1,7]] and a [[59,1,9]] code, both of check weight at most eight.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06730",
  "author_total": 4,
  "authors": [
    {
      "name": "Arpit Dua"
    },
    {
      "name": "Adam Holmes"
    },
    {
      "name": "Michael J. Gullans"
    },
    {
      "name": "Victor V. Albert"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e57hjds65zq56.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06730",
  "fulltext_url": null,
  "id": "e57hjds65zq56",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06730",
  "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",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7220717935",
  "pdf_url": "https://arxiv.org/pdf/2610.06730",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e57hjds65zq56.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.06730",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06730"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Qubit CSS codes with Universal Transversal Gates",
  "title_text": "Qubit CSS codes with Universal Transversal Gates",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/e57hjds65zq56",
  "venue": "arXiv",
  "versions": []
}