论文标题
量子最佳控制中的chat不休现象
Chattering Phenomenon in Quantum Optimal Control
论文作者
论文摘要
我们提出了一个量子最佳控制问题，该问题表现出令人讨厌的现象。这是量子控制中这种过程的第一个实例。使用V. F. F. Borisov和M. I. Zelikin引起的Pontryagin最大原理和一般程序，我们表征了局部最佳合成，然后通过合适的数值算法全球化。我们说明了检测chat不休现象的重要性，因为它们对数值优化程序的效率产生了影响。
We present a quantum optimal control problem which exhibits a chattering phenomenon. This is the first instance of such a process in quantum control. Using the Pontryagin Maximum Principle and a general procedure due to V. F. Borisov and M. I. Zelikin, we characterize the local optimal synthesis, which is then globalized by a suitable numerical algorithm. We illustrate the importance of detecting chattering phenomena because of their impact on the efficiency of numerical optimization procedures.
