Second order gradient ascent pulse engineering

TL;DR

This paper enhances the GRAPE algorithm for quantum control by introducing more precise gradients, faster convergence with BFGS, and improved derivative calculations, leading to significant efficiency gains.

Contribution

The paper presents novel improvements to the GRAPE algorithm, including accurate gradients, BFGS acceleration, and faster derivative computations, advancing quantum control optimization.

Findings

Significant reduction in wall clock time.

Improved convergence rates.

Enhanced gradient accuracy.

Abstract

We report some improvements to the gradient ascent pulse engineering (GRAPE) algorithm for optimal control of quantum systems. These include more accurate gradients, convergence acceleration using the BFGS quasi-Newton algorithm as well as faster control derivative calculation algorithms. In all test systems, the wall clock time and the convergence rates show a considerable improvement over the approximate gradient ascent.