论文标题
估计具有有界振幅的两级和三级量子系统的最佳控制
Estimation of optimal control for two-level and three-level quantum systems with bounded amplitude
论文作者
论文摘要
提出了一个系统的方案，以在数值上估计具有有界振幅的两级和三级量子系统中最佳控制的量子速度限制和时间形状。对于两级系统，研究了两个量子状态过渡作为例证。进行数值和分析结果之间的比较，并且偏差明显很小。对于三级系统，以高精度确定两个关键时间点，并在不同的持续时间内获得最佳控制。优化控制场的形状很简单，并且不经常切换，因此在实验中易于实现。此外，我们将我们的方法与切碎的随机基础（CRAB）进行了比较，并且我们方法的性能比螃蟹的方法要好得多。我们的方案对于估计缺乏分析解决方案的量子速度限制和最佳控制至关重要。
A systematic scheme is proposed to numerically estimate the quantum speed limit and temporal shape of optimal control in two-level and three-level quantum systems with bounded amplitude. For the two-level system, two quantum state transitions are studied as illustration. Comparisons between numerical and analytical results are made, and deviations are significantly small. For the three-level system, two critical time points are determined with high accuracy, and optimal controls are obtained for different durations. The shape of optimized control field is simple and does not switch frequently, thus are easy to implement in experiment. In addition, we compare our method with the chopped random basis (CRAB), and the performance of our method is much better than that of CRAB. Our scheme is of importance in estimating the quantum speed limit and optimal control for cases in which analytical solution is absent.
