Spectral Methods for Quantum Optimal Control: Artificial Boundary Conditions
Abstract
The problem of quantum state preparation is one of the main challenges in achieving the quantum advantage. Furthermore, classically, for multi-level problems, our ability to solve the corresponding quantum optimal control problems is rather limited. The ability of the latter to feed into the former may result in significant progress in quantum computing. To address this challenge, we propose a formulation of quantum optimal control that makes use of artificial boundary conditions for the Schr\"odinger equation in combination with spectral methods. The resulting formulations are well suited for investigating periodic potentials and lend themselves to direct numerical treatment using conventional methods for bounded domains.
Cite
@article{arxiv.2403.14436,
title = {Spectral Methods for Quantum Optimal Control: Artificial Boundary Conditions},
author = {Ales Wodecki and Jakub Marecek and Vyacheslav Kungurtsev and Pavel Eichler and Georgios Korpas and Philip Intallura},
journal= {arXiv preprint arXiv:2403.14436},
year = {2024}
}
Comments
10 pages plus references