论文标题
加速牛顿 - 拉夫森葡萄方法用于最佳控制
Accelerated Newton-Raphson GRAPE methods for optimal control
论文作者
论文摘要
Liouville空间中介绍了基于Hessian的最佳控制方法，以减轻以前不希望的计算时间缩放时间。这种新方法是对最先进的牛顿 - 拉夫森葡萄法的改进，它是针对两种精确的时间启示器衍生技术得出的：辅助矩阵和Escalade方法。我们观察到，与牛顿 - 拉夫森葡萄法的最佳当前实施相比，对于具有现实条件的2级系统的集合，新的辅助矩阵和埃斯卡拉德·黑森斯的速度分别可以快4-200和70-600倍。
A Hessian based optimal control method is presented in Liouville space to mitigate previously undesirable polynomial scaling of computation time. This new method, an improvement to the state-of-the-art Newton-Raphson GRAPE method, is derived with respect to two exact time-propagator derivative techniques: auxiliary matrix and ESCALADE methods. We observed that compared to the best current implementation of Newton-Raphson GRAPE method, for an ensemble of 2-level systems, with realistic conditions, the new auxiliary matrix and ESCALADE Hessians can be 4-200 and 70-600 times faster, respectively.
