论文标题
通过Majorana Transmon中的参数调制实施单量门门
Implementation of single-qubit gates via parametric modulation in the Majorana transmon
论文作者
论文摘要
我们提出了一种基于电压门的方法来控制Majoraana Transmon，使用诱导偏移电荷$ n_g $的正弦调制。在Transmon制度和瞬时特征状态下工作，我们发现该协议下的时间演变实现了可调$ x $-$ z $旋转。我们优化了实验室框架和量子旋转框架中不同单量门门的系统的参数，获得了量子控制错误$ 1- \ MATHCAL {F} $小于$ \ sim2 \ sim2 \ times 10^{ - 4} $。除此之外，我们对电荷噪声的影响进行了分析，假设宽带$ 1/f $添加噪声在$ n_g $中，无论是免费的和动力的进化而言。对于自由进化，放松和脱落速率是触及扰动的，在系统的甜点处获得了毫秒的长时间时间。对于驱动案例，$ x $ -GATE的平均保真度是通过数值模拟获得的，表明具有显着的弹性。
We present a voltage gate-based method for controlling the Majorana transmon, using a sinusoidal modulation of the induced offset charge $n_g$. Working in the transmon regime and in the instantaneous eigenstates basis, we find the time evolution under this protocol that realises tunable $X$-$Z$ rotations. We optimise the parameters of the system for different single-qubit gates in both the laboratory frame and the qubit rotating frame, obtaining qubit control errors $1-\mathcal{F}$ smaller than $\sim2\times 10^{-4}$. In addition to this, we conduct an analysis of the effects of the charge noise, assuming wide-band $1/f$ additive noise in $n_g$, both for the free and the driven evolutions. For the free evolution, the relaxation and dephasing rates are calculated perturbatively, obtaining long dephasing times of the order of milliseconds at the system's sweet-spots. For the driven case, the average fidelity for the $X$-gate is obtained via a numerical simulation, demonstrating remarkable resilience.
