Higher-Order Methods for Hamiltonian Engineering Pulse Sequence Design

• URL: http://arxiv.org/abs/2303.07374v1
• Date: Mon, 13 Mar 2023 18:00:11 GMT
• Title: Higher-Order Methods for Hamiltonian Engineering Pulse Sequence Design
• Authors: Matthew Tyler, Hengyun Zhou, Leigh S. Martin, Nathaniel Leitao, Mikhail D. Lukin
• Abstract summary: We introduce a framework for designing Hamiltonian engineering pulse sequences that 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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