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arXiv · 2108.05190

Application of the Small Tip-Angle approximation in the Toggling Frame for the design of analytic robust pulses in Quantum Control

L. Van Damme·D. Sugny·S. J. Glaser
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Abstract

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.

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L. Van Damme, D. Sugny, S. J. Glaser. 2021-08-11. Application of the Small Tip-Angle approximation in the Toggling Frame for the design of analytic robust pulses in Quantum Control. https://doi.org/10.1103/physreva.104.042226

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