Abstract: According to the specialty of quantum systems, the reliability or the efficiency of a general optimal control scheme leaves much to be desired. This paper developed a special improved quantum optimal control method for using dynamic control field,which can be implemented as fast convergent algorithms. The relations among penalty of the field energy value, convergence speed and iteration step parameters were analyzed in detail through the system simulation ex- periments. I}hcoretical analysis shows that this new algorithm exhibits significantly superior to class of quantum optimal control and the cojugate gradient method in reliability and convergence rate.

Key words: Qantum optimal control,Conjugate gradient method,Convergence rate