We present a set of experimentally feasible pulse sequences that implement any single-qubit gate on a singlet-triplet spin qubit and demonstrate that these new sequences are up to three times faster than existing sequences in the literature. We show that these sequences can be extended to incorporate built-in dynamical error correction, yielding gates that are robust to both charge and magnetic field noise and up to twice as fast as previous dynamically corrected gate schemes. We present a thorough comparison of the performance of our new sequences with that of several existing ones using randomized benchmarking, considering both quasistatic and $1/f^{\alpha }$ noise models. We provide our results both as a function of evolution time and as a function of the number of gates, which respectively yield both an effective coherence time and an estimate of the number of gates that can be performed within this coherence time. We determine which set of pulse sequences gives the best results for a wide range of noise strengths and power spectra. Overall, we find that the traditional, slower sequences perform best when there is no field noise or when the noise contains significant high-frequency components; otherwise, our new, fast sequences exhibit the best performance.

中文翻译：

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单线三重态量子位中动态校正门的快速脉冲序列

我们提出了一组实验可行的脉冲序列，它们在单重态-三重态自旋量子位上实现了任何单量子位门，并证明了这些新序列的速度比文献中现有序列快三倍。我们展示了可以扩展这些序列以合并内置的动态误差校正，从而产生对电荷和磁场噪声均具有鲁棒性的门，其速度是以前的动态校正门方案的两倍。考虑到准静态和准静态，我们使用随机基准测试对我们新序列与几个现有序列的性能进行了全面比较。$\mathrm{1个}/F^{\alpha }$噪声模型。我们提供的结果既是演化时间的函数，也是门数量的函数，它们分别产生了有效的相干时间，并估计了在该相干时间内可以执行的门数量。我们确定在广泛的噪声强度和功率谱范围内，哪组脉冲序列可提供最佳结果。总的来说，我们发现，在没有场噪声或噪声包含大量高频成分的情况下，传统的慢速序列性能最佳。否则，我们的新快速序列将表现出最佳性能。