论文标题
在最佳控制理论中采用典型性
Employing Typicality in Optimal Control Theory
论文作者
论文摘要
控制量子系统的动态是量子科学技术中的至关重要任务。获取将量子系统转换为目标的驾驶场是一项典型的控制任务。这项任务很困难，随着希尔伯特空间的规模而不利地扩展。为了解决这个问题，我们采用典型性来协助寻找此类系统的控制场。为了证明该方法，我们从相对较高的温度中选择冷却ALF分子的精细结构状态的控制任务，从而导致较大的希尔伯特空间。使用量子典型性，我们证明了我们可以模拟状态集合，从而实现了同时解决许多状态的控制任务。我们采用这种方法来找到一个用于冷却分子具有大量内部的控制场，对应于高初始温度。
Controlling the dynamics of quantum systems is a crucial task in quantum science and technology. Obtaining the driving field that transforms the quantum systems to its objective is a typical control task. This task is hard, scaling unfavorably with the size of Hilbert space. To tackle this issue we employ typicality to assist in finding the control field for such systems. To demonstrate the method we choose the control task of cooling the fine structure states of the AlF molecule, from relatively high temperatures which results in large Hilbert space. Using quantum typicality, we demonstrate that we can simulate an ensemble of states, enabling a control task addressing simultaneously many states. We employ this method to find a control field for cooling molecules with large number of internal sates, corresponding to high initial temperatures.
