AI 中文总结
本研究在IonQ Forte阱离子处理器上，于[[7,1,3]]斯堤恩码中实验演示了连续角逻辑Z旋转，解析推导了退相位噪声的影响，观测到相干逻辑旋转，实现两轮物理旋转抵消总逻辑角，完成连续可调非克利福德逻辑门的原理性演示。
AI 中文摘要
我们在IonQ Forte阱离子处理器上的[[7,1,3]]斯堤恩码中，实验演示了连续角逻辑Z旋转。该协议的一轮操作先应用横向物理Z旋转θ，随后进行斯堤恩症候提取与解码，这会诱导出依赖症候的逻辑Z旋转。我们解析推导了退相位噪声对逻辑旋转角和逻辑退相位率的影响。利用逻辑拉姆齐干涉测量，我们从单轮协议中观测到了依赖症候的相干逻辑旋转。我们发现，通过过程断层扫描重建的逻辑通道是一个受噪声影响的逻辑Z旋转，可由退相位模型很好地解释。我们进一步实现了两轮协议，应用物理旋转+θ和-θ，观测到总逻辑角的抵消，且在重复的平凡症候下逻辑退相位率较低。这构成了在小型量子码中，通过横向旋转和标准误差校正实现连续可调非克利福德逻辑门的原理性演示。
英文摘要
We experimentally demonstrate continuous-angle logical $Z$ rotations in the $[[7,1,3]]$ Steane code on the IonQ Forte trapped-ion processor. A round of the protocol applies a transversal physical $Z$ rotation by $θ$, followed by Steane syndrome extraction and decoding, which induces a syndrome-dependent logical $Z$ rotation. We analytically derive the effect of dephasing noise on the logical rotation angle and logical dephasing rate. Using logical Ramsey interferometry, we observe coherent syndrome-dependent logical rotations from a single round of the protocol. We find that the logical channel reconstructed from process tomography is a noisy logical $Z$ rotation well explained by a dephasing model. We further implement a two-round protocol applying physical rotations $+θ$ and $-θ$, and observe cancellation of the total logical angle with low logical dephasing for repeated trivial syndromes. This constitutes a proof-of-principle demonstration of continuously tunable non-Clifford logical gates by transversal rotations and standard error correction in a small quantum code.
Comments12 pages, 14 figures
