Feedback stabilization of N-dimensional stochastic quantum systems based on bang-bang control
Xiaqing SUN
Sen KUANG
Yanan LIU
Juan ZHOU
Shuang CONG
摘要：For an N-dimensional quantum system under the influence of continuous measurement,this paper presents a switching control scheme where the control law is of bang-bang type and achieves asymptotic preparation of an arbitrarily given eigenstate of a non-degenerate and degenerate measurement operator,respectively.In the switching control strategy,we divide the state space into two parts:a set containing a target state,and its complementary set.By analyzing the stability of the stochastic system model under consideration,we design a constant control law and give some conditions that the control Hamiltonian satisfies so that the system trajectories in the complementary set converge to the set which contains the target state.Further,for the case of a non-degenerate measurement operator,we show that the system trajectories in the set containing the target state will automatically converge to the target state via quantum continuous measurement theory;while for the case of a degenerate measurement operator,the corresponding system trajectories will also converge to the target state via the construction of the control Hamiltonians.The convergence of the whole closed-loop systems under the cases of a non-degenerate and a degenerate measurement operator is strictly proved.The effectiveness of the proposed switching control scheme is verified by the simulation experiments on a finite-dimensional angular momentum system and a two-qubit system.
机标关键词：control schemesimulation experimentscontrol lawstochastic systemcontrol strategyangular momentumquantum systemstate space
资助基金：the Anhui Provincial Natural Science Foundation(1708085MF144)the National Natural Science Foundation of China(61573330)
论文发表日期：2017-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：13( 206-218 )
英文信息