Robust NOT gate by single-shot-shaped pulses: Demonstration of the efficiency of the pulses in rephasing atomic coherences

We derive a versatile protocol to implement a fast and robust NOT quantum gate, driven by single-shot-shaped pulses with appropriate time-dependent phase and intensity profiles. The pulses are derived by combining analytic computations and numerical optimizations. We experimentally demonstrate the applicability, efficiency, and robustness of the derived pulses to rephase atomic coherences in a Pr3+:Y2SiO5 crystal.