Designing dynamically corrected gates robust to multiple noise sources using geometric space curves: Part 1

Quantum computation demands high-fidelity control despite the presence of noise, a necessity for reaching the threshold for quantum error correction. A recently developed method named Space Curve Quantum Control (SCQC) maps the entire control problem to a Euclidean curve that dictates the type and degree of error suppression. In this talk, we augment the SCQC framework by deriving the global geometric conditions for pulse error tolerance, completing the picture of noise-robust single qubit control under SCQC. Our work further illuminates the connection between holonomic evolution and pulse error suppression.