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.

arXiv comment12+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

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Cited by in corpus (7)

• Two-axis twisting using Floquet-engineered XYZ spin models with polar molecules
• Robust Higher-Order Hamiltonian Engineering for Quantum Sensing with Strongly Interacting Systems
• Efficient Paths for Local Counterdiabatic Driving
• Universal quantum processors in spin systems via robust local pulse sequences
• Quantum decoherence of nitrogen-vacancy spin ensembles in a nitrogen spin bath in diamond under dynamical decoupling
• Engineering Precise and Robust Effective Hamiltonians
• Microscale Sensing with Strongly Interacting NV Ensembles at High Fields