We demonstrate fast universal electrical spin manipulation with inhomogeneousmagnetic fields. With fast Rabi frequency up to 127 MHz, we leave theconventional regime of strong nuclear-spin influence and observe a spin-flipfidelity > 96%, a distinct chevron Rabi pattern in the spectral-time domain,and spin resonance linewidth limited by the Rabi frequency, not by thedephasing rate. In addition, we establish fast z-rotations up to 54 MHz bydirectly controlling the spin phase. Our findings will significantly facilitatetomography and error correction with electron spins in quantum dots.
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