Higher-order methods for Hamiltonian engineering pulse sequence design
Matthew Tyler, Hengyun Zhou, Leigh S. Martin, Nathaniel Leitao, Mikhail D. Lukin
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, nonlocal-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.
Topics & Concepts
Hamiltonian (control theory)Floquet theoryDecoupling (probability)Dynamical decouplingQuantumComputer sciencePhysicsApplied mathematicsStatistical physicsQuantum mechanicsMathematicsQuantum computerMathematical optimizationNonlinear systemEngineeringControl engineeringMechanical and Optical ResonatorsQuantum Information and CryptographyAtomic and Subatomic Physics Research