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Effect of pulse error accumulation on dynamical decoupling of the electron spins of phosphorus donors in silicon

机译:脉冲误差积累对硅中磷供体电子自旋动力学解耦的影响

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摘要

Dynamical decoupling (DD) is an efficient tool for preserving quantum coherence in solid-state spin systems. However, the imperfections of real pulses can ruin the performance of long DD sequences. We investigate the accumulation and compensation of different pulse errors in DD using the electron spins of phosphorus donors in silicon as a test system. We study periodic DD sequences based on spin rotations about two perpendicular axes, and their concatenated and symmetrized versions. We show that pulse errors may quickly destroy some spin states, but maintain other states with high fidelity over long times. Pulse sequences based on spin rotations about x and y axes outperform those based on x and z axes due to the accumulation of pulse errors. Concatenation provides an efficient way to suppress the impact of pulse errors, and can maintain high fidelity for all spin components: pulse errors do not accumulate (to first order) as the concatenation level increases, despite the exponential increase in the number of pulses. A symmetrized DD sequence cancels the first-order pulse errors. Our theoretical model gives a clear qualitative picture of the error accumulation and produces results in quantitative agreement with the experiments.
机译:动态去耦(DD)是在固态自旋系统中保持量子相干性的有效工具。但是,实际脉冲的不完善会破坏长DD序列的性能。我们使用硅中磷供体的电子自旋作为测试系统,研究了DD中不同脉冲误差的累积和补偿。我们基于绕两个垂直轴的自旋旋转研究周期性DD序列,以及它们的串联和对称形式。我们表明,脉冲误差可能会迅速破坏某些自旋状态,但长期保持高保真度的其他状态。由于脉冲误差的累积,基于围绕x和y轴自旋旋转的脉冲序列优于基于x和z轴的脉冲序列。级联提供了一种有效的方法来抑制脉冲误差的影响,并且可以对所有自旋分量保持高保真度:尽管级联级别增加,但是脉冲误差不会累积(达到一阶),尽管脉冲数呈指数增长。对称的DD序列可消除一阶脉冲误差。我们的理论模型给出了误差累积的清晰定性图,并产生了与实验定量一致的结果。

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