绝热捷径中逆工程与最优控制之间的联系。

Connection between Inverse Engineering and Optimal Control in Shortcuts to Adiabaticity.

作者信息

Zhang Qi, Chen Xi, Guéry-Odelin David

机构信息

International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, China.

Laboratoire Collisions, Agrégats, Réactivité, IRSAMC, Université de Toulouse, CNRS, UPS, 31000 Toulouse, France.

出版信息

Entropy (Basel). 2021 Jan 9;23(1):84. doi: 10.3390/e23010084.

DOI:10.3390/e23010084

PMID:33435274

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7827842/

Abstract

We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed. Using OCT as a qualitative guide, we demonstrate how STA protocols designed from inverse engineering method can approach with very high precision optimal solutions built about physical constraints, by a proper choice of the interpolation function and with a very reduced number of adjustable parameters.

摘要

我们考虑通过使用绝热捷径（STA）技术和最优控制理论（OCT）来实现快速高保真量子控制。明确详细地给出了三个具体例子，包括冷原子从谐振阱的膨胀、通过移动谐振阱进行原子输运以及存在耗散时的自旋动力学。以OCT作为定性指导，我们展示了如何通过适当选择插值函数并使用非常少的可调参数，从逆向工程方法设计的STA协议能够以非常高的精度逼近基于物理约束构建的最优解。