基于偏差的李雅普诺夫方法超导量子比特系统调控

Manipulation of superconducting qubits system based on deviation Lyapunov method

应用李雅普诺夫控制理论,对含约瑟夫森结电荷量子比特系统的状态实施了有效调控。数值仿真表明:对超导电荷量子比特系统,采用基于偏差的李雅普诺夫控制方法,不管是间接还是直接调控形式,选取适当的控制幅度可以达到对量子系统的调控目的;并且增大控制幅度,得到的控制函数曲线更平滑,完成控制任务需要的时间越短。这种控制方法避免了传统控制方法所需要的复杂的迭代计算,可以确保量子系统的稳定。因此,李雅普诺夫方法是一种具有一定实用意义的调控方法。

Effective manipulation on the state of the charge qubit system consisting of Josephson junctions by means of Lyapunov control theory is performed. Numerical simulations show that the manipulation on superconducting qubit system can be realized via choosing proper control amplitude whether directly or indirectly using the deviation based on Lyapunov method. Quantum system can be controlled by selecting the appropriate control range. The bigger the control amplitude is, the smoother the control function curve is, and the shorter the control task time is. This control method can avoid the interative calculation of complex traditional control methods, and ensure the stability of quantum system. Therefore Lyapunov method is a kind of practical manipulation method.