Analytical blueprint for 99.999% fidelity X-gates on present superconducting hardware under strong driving

The research develops analytical pulse families to achieve 99.999% fidelity for single-qubit gates under strong driving, overcoming limitations of standard DRAG methods. It addresses multi-photon transitions arising from higher energy levels by introducing recursive corrections (R1D and R2D), enabling faster, stronger gates while maintaining high accuracy even with decoherence.

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