Synthesizing an optimal spin-qubit shuttling-bus architecture for the surface code

[EN] As quantum computers scale toward millions of physical qubits, it becomes essential to robustly encode individual logical qubits to ensure fault tolerance under realistic noise. A high-quality foundational encoding allows future compilation techniques and heuristics to build on optimal or near-...

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Detalles Bibliográficos
Autores: Escofet, Pau, Alarcon, Eduard, Abadal, S, Semenov, Andrii, Murphy, Niall, Blokhina, Elena, GARCIA ALMUDEVER, CARMEN|||0000-0002-3800-2357
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:dnet:riunet______::b9e08490c76b6da962c266b6a6932677
Acceso en línea:https://riunet.upv.es/handle/10251/234338
Access Level:acceso abierto
Palabra clave:Quantum error correction
Surface code
Spin qubits
Mixed-integer optimization
Shuttling architecture
Fault tolerance
Descripción
Sumario:[EN] As quantum computers scale toward millions of physical qubits, it becomes essential to robustly encode individual logical qubits to ensure fault tolerance under realistic noise. A high-quality foundational encoding allows future compilation techniques and heuristics to build on optimal or near-optimal layouts, improving scalability and error resilience. In this work, we synthesize a one-dimensional shuttling-bus architecture for the rotated surface code, leveraging coherent spin-qubit shuttling, following a methodology we name quantum reverse mapping. We formulate a mixed-integer optimization model that yields optimal solutions with relatively low execution time for small code distances, and propose a scalable heuristic that matches optimal results while maintaining linear computational complexity. We evaluate the synthesized architecture using architectural metrics, such as shuttling distance and cycle time, and full quantum simulations under realistic noise models, showing that the proposed design can sustain logical error rates as low as 2 & times; 10-10 per round at code distance 21, showcasing its feasibility for scalable quantum error correction in spin-based quantum processors.