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arXiv · 2303.07374

Higher-Order Methods for Hamiltonian Engineering Pulse Sequence Design

Matthew Tyler·Hengyun Zhou·Leigh S. Martin·Nathaniel Leitao·Mikhail D. Lukin
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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.

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Matthew Tyler, Hengyun Zhou, Leigh S. Martin, Nathaniel Leitao, Mikhail D. Lukin. 2023-03-13. Higher-Order Methods for Hamiltonian Engineering Pulse Sequence Design. https://doi.org/10.1103/physreva.108.062602

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