论文标题
通过分段恒定脉冲对两级量子系统的时间最佳控制
Time-optimal control of two-level quantum systems by piecewise constant pulses
论文作者
论文摘要
我们将最大原理的扩展范围扩展到通过分段恒定脉冲来得出两级量子系统的时间优势对照。在具有一个和两个对照的情况下，在州到国家转移获得了全球最佳解决方案。确切的量子速度限制是作为采样周期的函数建立的。从数值上观察到在此期间为零时，在连续限制中向最小时间的指数收敛。我们表明，这种收敛仅是线性化量子系统的多项式。我们讨论了该结果的实验影响。
We apply an extension of the Pontryagin Maximum Principle to derive time-optimal controls of two-level quantum systems by means of piecewise constant pulses. Global optimal solutions are obtained for state-to-state transfer in the cases with one and two controls. Exact quantum speed limits are established as a function of the sampling period. We observe numerically an exponential convergence towards the minimum time in the continuous limit when this period goes to zero. We show that this convergence is only polynomial for a linearized quantum system. We discuss the experimental impact of this result.
