西安理工大学学报2016，Vol.32Issue(1)：7-11,5.DOI:10.19322/j.cnki.issn.1006-4710.2016.01.002
基于数值迭代的两能级封闭量子系统最优控制
The optimal control of two-level closed quantum system based on numerical iteration
摘要
Abstract
The expected performance index is the foundation for all of control systems.The re-search on the control of quantum systems mainly focus on a unique obj ect such as the precision of final state,the minimum of time or energy,which lacks a comprehensive consideration on the ac-tual system.Based on the comprehensive analysis of the characteristic of the two-level closed quantum system,a comprehensive performance index leading to an optimal unitary evolution and energy is proposed in this paper.Then a group of differential equations of state and Lagrange multipliers which satisfies the optimality condition to the performance index is obtained based on the variation of performance index.Further,regarding the group of differential equations,a strategy for the solution of optimal control is designed based on numerical iteration with finite difference methods.Lastly,the influence of parameters to the control results is analyzed based on numerical simulation,and the effectiveness of the optimal control method and the iteration algo-rithm suggested in this paper is tested.关键词
两能级量子系统/最优控制/性能指标/数值迭代Key words
two-level quantum system/optimal control/performance index/numerical iteration分类
信息技术与安全科学引用本文复制引用
谢国,田冰,刘丁..基于数值迭代的两能级封闭量子系统最优控制[J].西安理工大学学报,2016,32(1):7-11,5.基金项目
中国博士后科学基金面上资助项目(2014M552471) （2014M552471）
陕西省创新团队资助项目(2013KCT-04) （2013KCT-04）
