We present an adaptation of direct collocation -- a trajectory optimization method commonly used in robotics and aerospace applications -- to quantum optimal control (QOC); we refer to this method as Pade Integrator COllocation (PICO). This approach supports general nonlinear constraints on the states and controls, takes advantage of state-of-the-art large-scale nonlinear programming solvers, and has superior convergence properties compared to standard approaches like GRAPE and CRAB. PICO also allows for the formulation of novel free-time and minimum-time control problems -- crucial for realizing high-performance quantum computers when the optimal pulse duration is not known a priori. We demonstrate PICO's performance both in simulation and on hardware with a 3D circuit cavity quantum electrodynamics system.
@article{arxiv.2305.03261,
title = {Direct Collocation for Quantum Optimal Control},
author = {Aaron Trowbridge and Aditya Bhardwaj and Kevin He and David I. Schuster and Zachary Manchester},
journal= {arXiv preprint arXiv:2305.03261},
year = {2023}
}