Automating the design of robust quantum control using geometric space curves

The realization of fault-tolerant quantum computation requires robust control of the underlying physical setup. Space Curve Quantum Control is a framework that facilitates the design of smooth pulses that implement dynamically corrected gates by mapping the problem to the task of constructing space curves satisfying certain geometric properties. In this talk, we show how to streamline the process of constructing suitable curves by working in the spin vector representation and by leveraging the machinery of control points and Bezier curves. Our work provides a general continuous-pulse gradient-based gate optimization scheme that allows the utilization of the existing machine learning strategies.