Comparison of time optimal control for two level quantum systems  

作　　者：Shuang Cong Jie Wen Xubo Zou 

机构地区：[1]Department of Automation,University of Science and Technology of China [2]Key Laboratory of Quantum Information,University of Science and Technology of China,Chinese Academy of Sciences

出　　处：《Journal of Systems Engineering and Electronics》2014年第1期95-103,共9页系统工程与电子技术（英文版）

基　　金：supported by the National Key Basic Research Program(2011CBA00200);the National Natural Science Foundation of China(61074050)

摘　　要：The time optimal problem for a two level quantum sys-tem is studied. We compare two different control strategies of bang-bang control and the geometric control, respectively, es-pecial y in the case of minimizing the time of steering the state from North Pole to South Pole on the Bloch sphere with bounded control. The time performances are compared for different param-eters by the individual numerical simulation experiments, and the experimental results are analyzed. The results show that the ge-ometric control spends less time than the bang-bang control does.The time optimal problem for a two level quantum sys-tem is studied. We compare two different control strategies of bang-bang control and the geometric control, respectively, es-pecial y in the case of minimizing the time of steering the state from North Pole to South Pole on the Bloch sphere with bounded control. The time performances are compared for different param-eters by the individual numerical simulation experiments, and the experimental results are analyzed. The results show that the ge-ometric control spends less time than the bang-bang control does.

关 键 词：geometric control bang-bang control time optimal comparison 

分 类 号：O431.2[机械工程—光学工程]