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arXiv 1806.01262cond-mat.mes-hallquant-ph
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SiMOS和Si/SiGe双量子点C相门脉冲序列设计

Pulse sequence designed for robust C-phase gates in SiMOS and Si/SiGe double quantum dots

Utkan Güngördü, J. P. Kestner

摘要:

从理论上分析了SiMOS和Si/SiGe自旋量子比特实验中单量子比特和双量子比特门的误差,提出了一种利用理想局域旋转抑制电荷噪声引起的交换耦合误差的脉冲序列。在实践中,脉冲序列的整体保真度将仅受可用的单量子位门的质量的限制:C相失真变成$\approx 2.5 \times$,即单量子位操作的失真。基于实验数据,我们建立了误差模型,并表明C相门不稳定性可以被抑制两个数量级。我们的脉冲序列是简单的,我们希望实验实现将是相对简单的。我们还评估了这种门对$1/f$噪声的性能。假设一个软的紫外截止,我们表明,准静态噪声设计的脉冲序列仍然表现良好,当截止发生在$\sim 1$ MHz以下给出足够快的一个量子比特拉比频率,抑制失真的数量级相比,现有的直接绝热协议。我们还分析了在有限的上升期nonadiabaticity的影响,并发现,adiabaticity是不是一个限制交换耦合的电流值。

英文摘要:

We theoretically analyze the errors in one- and two-qubit gates in SiMOS and Si/SiGe spin qubit experiments, and present a pulse sequence which can suppress the errors in exchange coupling due to charge noise using ideal local rotations. In practice, the overall fidelity of the pulse sequence will be limited only by the quality of the single-qubit gates available: the C-phase infidelity comes out to be $\approx 2.5 \times$ the infidelity of the single-qubit operations. Based on experimental data, we model the errors and show that C-phase gate infidelities can be suppressed by two orders in magnitude. Our pulse sequence is simple and we expect an experimental implementation would be relatively straightforward. We also evaluate the performance of this gate against $1/f$ noise. Assuming a soft ultraviolet cutoff, we show that the pulse sequence designed for quasistatic noise still performs well when the cutoff occurs below $\sim 1$MHz given fast enough one-qubit Rabi frequencies, suppressing the infidelity by an order of magnitude compared to the existing direct adiabatic protocol. We also analyze the effects of nonadiabaticity during finite rise periods, and find that adiabaticity is not a limitation for the current values of exchange coupling.

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