{
  "abstract": "Encoded magic states are essential for universal fault-tolerant quantum computation, but their resource-efficient preparation in high-rate quantum codes remains challenging. To address this limitation, we propose two-layer verification, which combines local verification of independently prepared subblocks with logical verification after their embedding into a target code. This hierarchy detects harmful error patterns, including even-parity logical-eigenvalue flips that are invisible to a collective product check alone. We demonstrate this scheme for a $[[21,3,5]]$ code by constructing a circuit that embeds three verified seven-qubit Steane-code magic states into the target code. Circuit-level simulations of $T$- and $S$-state preparation show logical-error suppression consistent with the code distance. These results demonstrate the potential of two-layer verification as a design principle for reliable magic-state preparation in quantum codes encoding multiple logical qubits.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32267",
  "author_total": 2,
  "authors": [
    {
      "name": "Naoyuki Kanomata"
    },
    {
      "name": "Hayato Goto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bswz6mngzmjes.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32267",
  "fulltext_url": null,
  "id": "bswz6mngzmjes",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32267",
  "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": "W7223685429",
  "pdf_url": "https://arxiv.org/pdf/2610.32267",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bswz6mngzmjes.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.32267",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32267"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Two-Layer Verification for Fault-Tolerant Magic-State Preparation in High-Rate Quantum Codes",
  "title_text": "Two-Layer Verification for Fault-Tolerant Magic-State Preparation in High-Rate Quantum Codes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:15Z",
  "url": "https://research.draconitic.com/paper/bswz6mngzmjes",
  "venue": "arXiv",
  "versions": []
}