Numerical gate design typically makes use of high-dimensional parametrizations enabling sophisticated, highly expressive control pulses. Developing efficient experimental calibration methods for such gates is a long-standing challenge in quantum control, as on-device calibration requires the optimization of noisy experimental data over high-dimensional parameter spaces. To improve the efficiency of calibrations, we present a systematic method based on singular value decomposition stacking for reducing the dimensionality of the parameter space traversed in gate calibration, starting from an arbitrary high-dimensional pulse representation. We use this approach to design and calibrate an $X_{\pi /2}$ gate robust against amplitude and detuning errors, as well as an $X_{\pi /2}$ gate robust against coherent errors due to a spectator qubit.

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• Optimization problems
• Quantum algorithms
• Quantum control
• Quantum gates
• Quantum information with solid state qubits
• Superconducting qubits
• Microwave techniques