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Electron spins confined in quantum dots are an attractive system to realizehigh-fidelity qubits owing to their long coherence time. With the prolongedspin coherence time, however, the control fidelity can be limited by systematicerrors rather than decoherence, making characterization and suppression oftheir influence crucial for further improvement. Here we report that thecontrol fidelity of Si/SiGe spin qubits can be limited by the microwave-inducedfrequency shift of electric dipole spin resonance and it can be improved byoptimization of control pulses. As we increase the control microwave amplitude,we observe a shift of the qubit resonance frequency, in addition to theincreasing Rabi frequency. We reveal that this limits control fidelity with aconventional amplitude-modulated microwave pulse below 99.8%. In order toachieve a gate fidelity > 99.9%, we introduce a quadrature control method, andvalidate this approach experimentally by randomized benchmarking. Our findingfacilitates realization of an ultra-high fidelity qubit with electron spins inquantum dots.

Optimized electrical control of a Si/SiGe spin qubit in the presence of an induced frequency shift