Application of the small-tip-angle approximation in the toggling frame for the design of analytic robust pulses in quantum control

6533b852fe1ef96bd12aa3ea

RESEARCH PRODUCT

Application of the small-tip-angle approximation in the toggling frame for the design of analytic robust pulses in quantum control

Steffen J. Glaser Dominique Sugny L. Van Damme

subject

Physics Quantum Physics Frame (networking)FOS: Physical sciences Topology 01 natural sciences Resonance (particle physics)030218 nuclear medicine & medical imaging Pulse (physics)03 medical and health sciences 0302 clinical medicine Amplitude [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]Robustness (computer science)0103 physical sciences Broadband Quantum Physics (quant-ph)010306 general physics Quantum Energy (signal processing)

description

We apply the Small Tip-Angle Approximation in the Toggling Frame in order to analytically design robust pulses against resonance offsets for state to state transfer in two-level quantum systems. We show that a broadband or a local robustness up to an arbitrary order can be achieved. We provide different control parameterizations to satisfy experimental constraints and limitations on the amplitude or energy of the pulse. A comparison with numerical optimal solutions is made.

year	journal	country	edition	language
2021-01-01	Physical Review A

https://doi.org/10.1103/physreva.104.042226

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