摘要
由于量子态在Hilbert空间中的酉演化性质,经典稳定性概念在量子动力学中几乎没有意义。利用两个量子态保真度衰减的线性响应近似形式,提出一种分析量子系统构造控制稳定性的方法。对二能级量子构造控制系统在静态干扰下的保真度摄动分析表明,当有较多控制脉冲的径向坐标等于π/2时,控制系统取得较大的稳定性。两种不同的构造控制酉分解方法的数值仿真结果证明了理论分析的正确性。该分析方法有助于设计高稳定性的量子控制系统。
To the problem that, due to the unitary invarianee of the Hilbert-space ovedap of quantum states, classical stability concepts make little sense in the quantum dynamics, the linear response formalism of fidelity decay is employed to measure the stability of constructive control of quantum systems with respect to static peaurbations. By analysing the fidelity decay of the constructive control of the quantum two-level systems, the stability of the control system is enhanced when more control pulses have radial coordinates equal to π/2. The simulation results of two different constructive control schemes show the theoretical predictions. The methodology can be applied to design more robust quantum control systems.
出处
《控制工程》
CSCD
2007年第4期359-361,共3页
Control Engineering of China
关键词
量子控制
保真度
二能级量子系统
quantum control
fidelity
quantum two-level system
