Journal of Systems Engineering and Electronics ›› 2011, Vol. 22 ›› Issue (6): 975-981.doi: 10.3969/j.issn.1004-4132.2011.06.014

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Controlling the probability density of quantum systems

Yifan Xing and JunWu*   

  1. Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, P. R. China
  • Online:2011-12-21 Published:2010-01-03


A new method to design a quantum controller which directly controls the probability density function (PDF) of quantum systems is proposed. Based on the quantum model from the PDF perspective, two specific control algorithms are proposed with uniform and non-uniform fields, respectively. Then a detailed control algorithm with convergence analysis is given for the small error case. By appropriately estimating the selected Lyapunov function, more accurate control effect is achieved. The proposed scheme provides a constructive method to find appropriate parameters for controller design.

Key words: quantum control, probability density control, stochastic distribution control