AI 中文总结
该研究提出纯测量型协议，在Quantinuum H2处理器上重构量子双模型D(S₃)的非阿贝尔编织与融合，保真度达0.9988以上，为拓扑量子处理器提供构建模块。
AI 中文摘要
非阿贝尔任意子为容错通用量子计算提供了一条途径，但在量子硬件上实现扩展任意子过程的资源开销限制了实验获取其核心的编织与融合数据。本文提出并实验实现了一种基于时间有序 ribbon 操作的纯测量协议，可在无需物理任意子输运的情况下重构量子双模型 $D(S_3)$ 的非阿贝尔编织与融合基本单元。我们在 Quantinuum 的 H2 囚禁离子处理器上实现了该协议的简化双 qutrit 版本，在量子比特编码中实现了辅助的 ribbon 操作和任意子电荷投影；分别采用改进的 Hadamard 测试和后选测量重构平方编织相位与融合振幅。相关编织与融合变换的平均归一化输出态保真度分别为 $\bar{\bar{\text{F}}}_R=0.9988$ 和 $\bar{\bar{\text{F}}}_F=0.9987$，其作用与理想值高度吻合。将这些基本单元结合可产生非 Clifford 编织和非 stabilizer 资源态，证明纯测量型任意子编码可作为更大拓扑编码量子处理器的构建模块。
英文摘要
Non-Abelian anyons offer a route to fault-tolerant and universal quantum computing, but experimental access to their defining braiding and fusion data remains limited by the resource overhead of implementing extended anyonic processes on quantum hardware. Here we introduce and experimentally realise a measurement-only protocol based on temporally ordered ribbon operations that reconstructs the non-Abelian braiding and fusion primitives of the quantum double model $D(S_3)$ without physical anyon transport. We implement a reduced two-qutrit version of the protocol on Quantinuum's H2 trapped-ion processors, realising ancilla-assisted ribbon operations and anyonic charge projections in a qubit encoding. We reconstruct the squared braiding phases and fusion amplitudes using an adapted Hadamard test and post-selected measurements, respectively. The associated braiding and fusion transformations reproduce their ideal actions with average normalised output-state fidelities of $\overline{\mathcal{F}}_{R}=0.9988$ and $\overline{\mathcal{F}}_{F}=0.9987$. Combining these primitives produces a non-Clifford braid and a non-stabilizer resource state, supporting measurement-only anyonic encodings as building blocks for larger topologically encoded quantum processors.
Comments13+10 pages, 4+4 figures
