论文标题
开放量子系统的随机最佳控制形式主义
Stochastic optimal control formalism for an open quantum system
论文作者
论文摘要
开发了一个随机程序，该程序允许仅在随机波函数方面表达蓬蒂拉宁的最大原理。无需计算密度矩阵而无需计算时间 - 最佳控制。具体而言，讨论了Pontryagin的最大原理和对终端成本函数形式的限制所引入的随机加油变量的适当动力更新规则。通过将结果与从最佳控制的Lindbladian动力学获得的结果进行比较，可以证实所提出的程序。从数值上讲，提出的形式主义成为大型系统的时间和记忆力，并且可以推广以描述非马克维亚动力学。
A stochastic procedure is developed which allows one to express Pontryagin's maximum principle for dissipative quantum system solely in terms of stochastic wave functions. Time-optimal controls can be efficiently computed without computing the density matrix. Specifically, the proper dynamical update rules are presented for the stochastic costate variables introduced by Pontryagin's maximum principle and restrictions on the form of the terminal cost function are discussed. The proposed procedure is confirmed by comparing the results to those obtained from optimal control on Lindbladian dynamics. Numerically, the proposed formalism becomes time and memory efficient for large systems, and it can be generalized to describe non-Markovian dynamics.
