论文标题
无序量子系统的最佳控制
Optimal Control in Disordered Quantum Systems
论文作者
论文摘要
我们研究了几种沿着自旋链的激发传输的控制策略。我们证明，使用具有可区分编程的协议可以实现快速，高保真的运输。在此基础上，我们展示了如何有效地适应该方法以控制无序的量子系统。我们考虑两种设置：对已知不良疾病模式的最佳控制，即特定的疾病实现和最佳控制，其中仅知道疾病的统计特性，即对高平均保真度进行优化。在前者中，对于适当选择的控制方案，可以有效地减轻疾病效应。但是，在后者的环境中，平均忠诚度只能稍微改善，这表明存在基本的下限。
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.
