Optimal control in disordered quantum systems
Optimal control in disordered quantum systems
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DOI：
10.1103/physrevresearch.4.043138
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发表时间：
2022-01
影响因子：
4.2
通讯作者：
Luuk Coopmans;S. Campbell;G. De Chiara;Anthony Kiely
中科院分区：
文献类型：
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作者：
Luuk Coopmans;S. Campbell;G. De Chiara;Anthony Kiely
我们研究了几种控制策略的运输的激励沿着自旋链。我们证明，快速，高保真的传输可以实现使用协议设计的可区分的编程。在此基础上，我们展示了这种方法如何有效地适应于控制无序量子系统。我们考虑两种设置：用于已知的不想要的无序模式（即，特定无序实现）的最优控制，以及其中仅无序的统计特性是已知的最优控制，即，针对高平均有序度进行优化。在前者中，通过适当选择控制方案，可以有效地减轻无序效应。然而，在后一种设置中，平均保真度只能略有提高，这表明存在一个基本的下限。
We investigate several control strategies for the transport of an excitation along a spin chain. We demonstrate that fast, high fidelity transport can be achieved using protocols designed with differentiable programming. Building on this, we then show how this approach can be effectively adapted to control a disordered quantum system. We consider two settings: optimal control for a known unwanted disorder pattern, i.e. a specific disorder realisation, and optimal control where only the statistical properties of disorder are known, i.e. optimizing for high average fidelities. In the former, disorder effects can be effectively mitigated for an appropriately chosen control protocol. However, in the latter setting the average fidelity can only be marginally improved, suggesting the presence of a fundamental lower bound.