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The study demonstrates that phase-only optimization offers significant speed and simplicity advantages over phase-and-amplitude control when designing GRAPE shaped pulses, as amplitude modulation can be effectively simulated via phase modulation. Since the two approaches are fundamentally equivalent and pulses can be interconverted, researchers can prioritize the faster phase-only method during optimization and convert the result to amplitude form only if robust implementation is required. This finding streamlines pulse design workflows in quantum control without sacrificing implementation fidelity.
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Phase-only control of GRAPE shaped pulses

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arXiv:2606.09624v1 Announce Type: new Abstract: We compare phase-only control with phase-and-amplitude control when designing shaped pulses using the GRAPE algorithm, and explain why phase-only control has significant advantages. Trotterisation can be used to simulate amplitude modulation with phase modulation, indicating that the two approaches are fundamentally equivalent. Pulses designed by either method can be interconverted, but phase-only optimization is faster and simpler. The resulting pulses can then be converted into phase-and-amplitude form for more robust implementation if desired.

Abstract:We compare phase-only control with phase-and-amplitude control when designing shaped pulses using the GRAPE algorithm, and explain why phase-only control has significant advantages. Trotterisation can be used to simulate amplitude modulation with phase modulation, indicating that the two approaches are fundamentally equivalent. Pulses designed by either method can be interconverted, but phase-only optimization is faster and simpler. The resulting pulses can then be converted into phase-and-amplitude form for more robust implementation if desired.

arXiv:2606.09624 [quant-ph]

(or arXiv:2606.09624v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2606.09624 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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