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One-qubit quantum gates in a circular graphene quantum dot: genetic algorithm approach

机译:圆形石墨烯量子点中的单量子位量子门:遗传算法

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摘要

The aim of this work was to design and control, using genetic algorithm (GA) for parameter optimization, one-charge-qubit quantum logic gates σx, σy, and σz, using two bound states as a qubit space, of circular graphene quantum dots in a homogeneous magnetic field. The method employed for the proposed gate implementation is through the quantum dynamic control of the qubit subspace with an oscillating electric field and an onsite (inside the quantum dot) gate voltage pulse with amplitude and time width modulation which introduce relative phases and transitions between states. Our results show that we can obtain values of fitness or gate fidelity close to 1, avoiding the leakage probability to higher states. The system evolution, for the gate operation, is presented with the dynamics of the probability density, as well as a visualization of the current of the pseudospin, characteristic of a graphene structure. Therefore, we conclude that is possible to use the states of the graphene quantum dot (selecting the dot size and magnetic field) to design and control the qubit subspace, with these two time-dependent interactions, to obtain the optimal parameters for a good gate fidelity using GA.
机译:这项工作的目的是使用遗传算法(GA)设计和控制圆形石墨烯量子点,并使用两个束缚态作为量子位空间,对一电荷量子位量子逻辑门σx,σy和σz进行设计和控制。在均匀磁场中用于提出的门实现的方法是通过具有振荡电场和具有幅度和时间宽度调制的现场(在量子点内部)栅极电压脉冲的量子位子空间的量子动力学控制,该幅度和时间宽度调制引入了相对的相位和状态之间的转换。我们的结果表明,我们可以获得接近1的适应度或门保真度值,避免了向较高状态泄漏的可能性。展示了用于门操作的系统演化过程,包括概率密度的动态变化以及伪自旋电流的可视化,即石墨烯结构的特征。因此,我们得出结论,可以利用石墨烯量子点的状态(选择点的大小和磁场)来设计和控制量子位子空间,并通过这两个与时间有关的相互作用来获得良好栅极的最佳参数。使用GA保真。

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