Noise-resistant Landau-Zener sweeps design from geometrical formalism

A newly discovered geometric formalism is a promising approach for designing dynamically corrected gates. In this formalism, the evolution of a qubit under drive and noise is in one-to-one correspondence with a 3D space curve. We exploit this correspondence to design noise-robust Landau-Zener-style sweeps through an avoided crossing. In the case where the avoided crossing is purely noise-induced, we demonstrate multiple phase gates that are error-robust up to the 2nd order. In the general case, where avoided crossings are not just from noise, we arrive at a robust sweeping protocol for gate design through a technique we introduce for building closed 3D space curves with the desired properties.