可控性在优化量子动力学中的作用
The role of controllability in optimizing quantum dynamics
摘要：
本文讨论了可控性在优化量子力学控制系统的复杂性中所起的重要作用。该研究是基于相应的量子控制景观的拓扑分析，这被称为作为控制场的功能的优化目标。我们发现，可控性的程度是密切相关的景观，这决定了搜索效率的全局最优。这种效果是通过门保真度控制景观的系统，其可控性是有限的SU（2）动态对称群证明。我们表明，多个局部假陷阱（即，非全局次最优）存在，即使目标门是可实现的，并且这些陷阱的数量由于可控性的损失而增加，而可控系统总是没有假陷阱。
英文摘要：
This paper discusses the important role of controllability played on the complexity of optimizing quantum mechanical control systems. The study is based on a topology analysis of the corresponding quantum control landscape, which is referred to as the optimization objective as a functional of control fields. We find that the degree of controllability is closely relevant with the ruggedness of the landscape, which determines the search efficiency for global optima. This effect is demonstrated via the gate fidelity control landscape of a system whose controllability is restricted on a SU(2) dynamic symmetry group. We show that multiple local false traps (i.e., non-global suboptima) exist even if the target gate is realizable and that the number of these traps is increased by the loss of controllability, while the controllable systems are always devoid of false traps.
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