Higher-Order Methods for Hamiltonian Engineering Pulse Sequence Design
Abstract
We introduce a framework for designing Hamiltonian engineering pulse sequences that systematically accounts for the effects of higher-order contributions to the Floquet-Magnus expansion. Our techniques result in simple, intuitive decoupling rules, despite the higher-order contributions naively involving complicated, non-local-in-time commutators. We illustrate how these rules can be used to efficiently design improved Hamiltonian engineering pulse sequences for a wide variety of tasks, such as dynamical decoupling, quantum sensing, and quantum simulation.
Keywords
Cite
@article{arxiv.2303.07374,
title = {Higher-Order Methods for Hamiltonian Engineering Pulse Sequence Design},
author = {Matthew Tyler and Hengyun Zhou and Leigh S. Martin and Nathaniel Leitao and Mikhail D. Lukin},
journal= {arXiv preprint arXiv:2303.07374},
year = {2024}
}
Comments
12+10 pages, 6 figures, see accompanying paper "Robust Higher-Order Hamiltonian Engineering for Quantum Sensing with Strongly Interacting Systems" for application of these techniques to quantum sensing