发表机构
Chalmers University of Technology; Indian Institute of Science Education and Research, Pune; University of Gothenburg（查尔姆斯理工大学; 印度科学教育研究所浦那分校; 哥德堡大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
提出双轨猫码（DRCC），结合内层猫码与外层双轨结构，实现偏压保持逻辑门和确定性单光子损失纠错，为硬件高效、抗擦除的容错量子计算提供新方案。
AI 中文摘要
可扩展的容错量子计算需要量子纠错码同时支持通用逻辑操作、抑制硬件特定噪声并高效处理光子损失错误。双轨码和猫码等玻色子编码各自具有吸引人的特性，但单独使用时也存在重要限制。双轨码通过将由光子损失错误引起的计算子空间泄漏转换为擦除错误，实现高效的单光子损失检测。相比之下，猫码提供了一种资源高效、偏压定制的纠错方案，并具有偏压保持的逻辑门操作。在此，我们引入双轨猫码（DRCC），这是一种级联玻色子编码，结合了内层猫码与外层双轨结构，从而继承并增强了两种组成码的优势。我们分析了DRCC的纠错特性，并通过将其与外层重复码级联，提出了一种确定性的单光子损失纠错协议。利用该码固有的噪声偏压，我们仅使用分束器相互作用构建了一套通用的逻辑门集，并证明所有逻辑操作都保留了擦除偏压的噪声结构。DRCC具有若干独特优势，包括门操作期间无相对几何相位、确定性擦除检测与纠错，以及在不中断稳定化的情况下同时进行综合征提取。这些特性使DRCC成为一种有前景的玻色子码，适用于硬件高效、偏压保持和抗擦除的容错量子计算。
英文摘要
Scalable fault-tolerant quantum computation requires quantum error-correcting codes that simultaneously support universal logical operations, suppress hardware-specific noise, and enable efficient handling of photon-loss errors. Bosonic encodings such as the dual-rail and cat codes each offer attractive features but also exhibit important limitations when used in isolation. The dual-rail code enables efficient single-photon-loss detection by converting leakage out of the computational subspace induced by photon-loss errors into an erasure error. In contrast, the cat code provides a resource-efficient, bias-tailored error-correction scheme with bias-preserving logical gate operations. Here, we introduce the dual-rail cat code (DRCC), a concatenated bosonic encoding that combines an inner cat code with an outer dual-rail structure, thereby inheriting and enhancing the advantages of both constituent codes. We analyse the error-correction properties of the DRCC and propose a deterministic single-photon-loss correction protocol by concatenating it with an outer repetition code. Exploiting the code's intrinsic noise bias, we construct a universal set of logical gates using only beam-splitter interactions and demonstrate that all logical operations preserve the erasure-biased noise structure. The DRCC offers several distinctive advantages, including the absence of relative geometric phases during gate operations, deterministic erasure detection and correction, and simultaneous syndrome extraction without interrupting stabilisation. These features make the DRCC a promising bosonic code for hardware-efficient, bias-preserving, and erasure-resilient fault-tolerant quantum computation.
Comments28 pages, 10 figures
