Bosonic quantum Fourier codes

Anthony Leverrier · 2025 · Quantum

| 编号 QE187 | 主题 玻色子码 | 链接 arXiv:2505.16618 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

While 2-level systems, aka qubits, are a natural choice to perform a logical quantum computation, the situation is less clear at the physical level. Encoding information in higher-dimensional physical systems can indeed provide a first level of redundancy and error correction that simplifies the overall fault-tolerant architecture. A challenge then is to ensure universal control over the encoded qubits. Here, we explore an approach where information is encoded in an irreducible representation of a finite subgroup of U ( 2 ) through an inverse quantum Fourier transform. We illustrate this idea by applying it to the real Pauli group ⟨ X , Z ⟩ in the bosonic setting. The resulting two-mode Fourier cat code displays good error correction properties and admits an experimentally-friendly universal gate set that we discuss in detail.

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