Connection between inverse engineering and optimal control in shortcuts to adiabaticity

TL;DR

This paper explores the connection between inverse engineering and optimal control in designing shortcuts to adiabaticity, demonstrating how OCT can refine STA protocols for high-precision quantum control in various physical systems.

Contribution

It establishes a link between inverse engineering and optimal control theory in the context of shortcuts to adiabaticity, showing how OCT can optimize STA protocols with minimal parameters.

Findings

STA protocols can be optimized using OCT with high precision.

Inverse engineering methods can be guided by OCT to improve control protocols.

The approach reduces the number of adjustable parameters needed for high-fidelity control.

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.