论文标题
基于上兴趣的线性系统的强大控制和绝热的快捷方式
Robust control of linear systems and shortcut to adiabaticity based on superoscillations
论文作者
论文摘要
随着量子技术的出现，控制问题变得越来越重要。在本文中，我们解决了在稳健性标准所产生的最小能量成本函数和局部（傅立叶空间）约束的全局约束下，在相位空间中的控制。这里开发的拉格朗日形式的反向工程概括了一种通常用于描述上苏联现象的一种。它应用于非疾病和耗散量子力学，并扩展到随机热力学。有趣的是，我们的方法还允许通过对系统的适当控制来提高传感能力。
With the advent of quantum technologies, control issues are becoming increasingly important. In this article, we address the control in phase space under a global constraint provided by a minimal energy-like cost function and a local (in Fourier space) constraint resulting from a robustness criterion. The inverse engineering Lagrangian formalism developed here generalizes the one commonly used to describe the superoscillation phenomenon. It is applied to both non-dissipative and dissipative quantum mechanics, and extended to stochastic thermodynamics. Interestingly, our approach also allows to improve the sensing capabilities by an appropriate control of the system.
