Accelerated Newton-Raphson GRAPE methods for optimal control
Optimization and Control
2022-08-19 v2 Quantum Physics
Abstract
A Hessian based optimal control method is presented in Liouville space to mitigate previously undesirable polynomial scaling of computation time. This new method, an improvement to the state-of-the-art Newton-Raphson GRAPE method, is derived with respect to two exact time-propagator derivative techniques: auxiliary matrix and ESCALADE methods. We observed that compared to the best current implementation of Newton-Raphson GRAPE method, for an ensemble of 2-level systems, with realistic conditions, the new auxiliary matrix and ESCALADE Hessians can be 4-200 and 70-600 times faster, respectively.
Cite
@article{arxiv.2207.09882,
title = {Accelerated Newton-Raphson GRAPE methods for optimal control},
author = {David L. Goodwin and Mads Sloth Vinding},
journal= {arXiv preprint arXiv:2207.09882},
year = {2022}
}