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Fault-Tolerant Constant-Depth Clifford Gates on Toric Codes

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arxiv 2411.18287 v1 pith:FSZALN4E submitted 2024-11-27 quant-ph

Alexandre Guernut , Christophe Vuillot This is my paper
classification quant-ph
keywords gatescliffordcodesconstant-depthfault-tolerantlogicaltoriccombines
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose and simulate the performance of a set of fault-tolerant and constant-depth logical gates on 2D toric codes. This set combines fold-transversal gates, Dehn twists and single-shot logical Pauli measurements and generates the full Clifford group.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Construction of the full logical Clifford group for high-rate quantum Reed-Muller codes using only transversal and fold-transversal gates

    quant-ph 2026-02 accept novelty 7.0 of 10

    High-rate self-dual quantum Reed–Muller codes admit ancilla-free addressable Clifford gates generated by transversal H and fold-transversal phase gates.

  2. Scalable decoding protocols for fast transversal logic in the surface code

    quant-ph 2025-05 conditional novelty 7.0 of 10

    The paper presents windowed decoding protocols that restore modularity and locality to decoding of fast transversal logic, enabling constant-time logical gates with scalable error correction.

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