{
  "abstract": "Logical CCZ states enable Toffoli gates, a central building block of fault-tolerant quantum arithmetic. We introduce an end-to-end protocol for direct CCZ-state preparation on bivariate tricycle and bicycle (BT/BB) codes. Our factory combines the cup-product CCZ gates native to BT codes with two novel ingredients, both enabled by engineering the logical coupling between BT and BB codes through projection-preserving lifts. Index-2 lifted BB ancillas enable selective $Z$-basis initialization, allowing the native cup-product gates to directly prepare two disjoint logical CCZ states. The prepared CCZ states are faithfully transferred to index-3 lifted BB memories with high code distance. We use decoder-based postselection to obtain high-fidelity output states with low overhead. We perform exact simulations of our factory under a circuit-level noise model motivated by neutral-atom hardware, obtaining joint infidelities of $1.84\\times10^{-5}$ at $21.94\\%$ acceptance and $4.10\\times10^{-7}$ at $8.89\\%$ acceptance for single-qubit, CZ, and CCZ error rates of $0.01\\%$, $0.1\\%$, and $0.5\\%$, respectively. At the output-infidelity target of our smallest factory, its estimated spacetime cost per CCZ state is lower than that of $T$-state cultivation followed by CCZ conversion, providing an efficient route to logical CCZ states for fault-tolerant quantum computation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20591",
  "author_total": 2,
  "authors": [
    {
      "name": "Yuta Hirasaki"
    },
    {
      "name": "Jong Yeon Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3n47y5nzx705e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20591",
  "fulltext_url": null,
  "id": "3n47y5nzx705e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20591",
  "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": "W7222229553",
  "pdf_url": "https://arxiv.org/pdf/2610.20591",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3n47y5nzx705e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.20591",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20591"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Logical CCZ state cultivation",
  "title_text": "Logical CCZ state cultivation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/3n47y5nzx705e",
  "venue": "arXiv",
  "versions": []
}