Noise-resistant Landau-Zener sweeps from geometrical curves

Landau-Zener physics is often exploited to generate quantum logic gates and perform state initialization readout. The quality of these operations can be degraded by noise fluctuations in the energy gap at avoided crossing. We leverage a recently discovered correspondence between qubit evolution space curves three dimensions design noise-robust sweeps through an In case where crossing purely noise-induced, we prove that based on monotonic cannot robust noise. Hence, families phase non-monotonic drives are error-robust up second order. general there even absence noise, present technique for designing driving protocols takes advantage relationship problem constant torsion.