论文标题
在量子控制解决方案子空间上导航
Navigating on Quantum Control Solution Subspaces
论文作者
论文摘要
量子最佳控制（QOC）是专门针对积极指导量子动力学的外部控制方案的生产。 QoC问题的解决方案显示出构成控制空间的连续亚策略。提出了一种利用此属性以在控制协议中实现次要特征的解决方案导航方法[Larocca \ textit {et al}，arxiv：1911.07105]。最初，该技术涉及确切的Hessian矩阵的计算。在本文中，我们表明可以使用有限差异近似方案进行导航，从而使该过程在计算确切的Hessian无法触及的系统中应用。
Quantum Optimal Control (QOC) is the field devoted to the production of external control protocols that actively guide quantum dynamics. Solutions to QOC problems were shown to constitute continuous submanifolds of control space. A solution navigation method exploiting this property to achieve secondary features in the control protocols was proposed [Larocca \textit{et al}, arXiv:1911.07105]. Originally, the technique involved the computation of the exact Hessian matrix. In this paper, we show that the navigation can be alternatively performed with a finite-difference approximation scheme, thus enabling the application of this procedure in systems where computing the exact Hessian is out of reach.
