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.

中文翻译：

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逆向工程与绝热捷径中的最优控制之间的联系

我们通过使用绝热捷径 (STA) 技术和最优控制理论 (OCT) 来考虑快速高保真量子控制。三个具体的例子，包括来自谐波陷阱的冷原子的膨胀、通过移动谐波陷阱的原子传输以及存在耗散的自旋动力学，都被明确地详细描述。使用 OCT 作为定性指南，我们展示了从逆向工程方法设计的 STA 协议如何通过正确选择插值函数和极少的可调参数来使用基于物理约束构建的非常高精度的最佳解决方案。