{
  "abstract": "Fault-tolerant quantum computing requires not only reliable logical qubit storage, but also the ability to perform high-fidelity logical operations between error-corrected qubits at scale. While much of the existing literature focuses on optimizing syndrome extraction for a single logical qubit, the co-design of physical architectures that support both robust error correction and efficient logical computation remains an open challenge. In this work, we propose a multi-qubit spin-qubit shuttling bus architecture that addresses both requirements simultaneously. The architecture optimizes the physical qubit layout for syndrome extraction and supports transversal two-qubit logical gates between an arbitrary number of logical qubits, achieving all-to-all logical connectivity through coherent spin shuttling. We further propose an ancilla-sharing scheme that encodes multiple logical qubits within a single logical element, compressing the physical footprint of the processor and improving long-range gate fidelity. Extending the architecture from a one-dimensional bus to a two-dimensional grid of shuttling tracks reduces the inter-qubit distance, yielding consistent improvements in logical error. Finally, we apply the Quantum Reverse Mapping methodology at the logical level to optimize the layout of a \\textit{15-to-1} magic state distillation circuit, demonstrating how the transversal capabilities of the proposed architecture can be leveraged for universal fault-tolerant computation. Taken together, these results establish a principled co-design framework that bridges the physical, error-correction, and logical computation layers of the quantum stack, and demonstrate that spin-qubit shuttling architectures are a viable and flexible substrate for scalable fault-tolerant quantum computation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02641",
  "author_total": 7,
  "authors": [
    {
      "name": "Pau Escofet"
    },
    {
      "name": "Andrii Semenov"
    },
    {
      "name": "Niall Murphy"
    },
    {
      "name": "Elena Blokhina"
    },
    {
      "name": "Carmen G. Almudéver"
    },
    {
      "name": "Sergi Abadal"
    },
    {
      "name": "Eduard Alarcón"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2kcx87n4kzv8y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02641",
  "fulltext_url": null,
  "id": "2kcx87n4kzv8y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02641",
  "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": "W7207854180",
  "pdf_url": "https://arxiv.org/pdf/2609.02641",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2kcx87n4kzv8y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.02641",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02641"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Transversal Gates and Magic State Distillation in an Optimally Synthesized Spin-Qubit Shuttling Bus",
  "title_text": "Transversal Gates and Magic State Distillation in an Optimally Synthesized Spin-Qubit Shuttling Bus",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/2kcx87n4kzv8y",
  "venue": "arXiv",
  "versions": []
}