Designing time-optimal dynamically corrected gates robust to finite blockade and laser errors using geometric space curves

Two qubit phase gates in neutral atom systems can be constructed through the so-called Rydberg blockade mechanism and typically suffer from errors produced by the finite strength of that interaction. In this talk, I will present a general technique to design control pulses that suppress noise due to the finite blockade strength. This is facilitated through the space curve quantum control formalism (SCQC) in which curves in Euclidean space map to robust control fields. We derive geometric constraints for canceling such errors and solve these to obtain time-optimal control fields robust to blockade errors, and additional types of laser noise plaguing the system.