Quantum gate fidelity depends on the intensity and detuning of addressing laser light a qubit experiences. When a qubit moves around in its trap during a gate operation, variations in the laser intensity probed by the qubit can change the outcome of a gate in a random way. Using supergaussian beams, which have a flatter intensity profile can reduce these errors. This project was done with Dr. Mark Saffman's group at the University of Wisconsin, Madison.
Here is a poster (pdf is below) on this topic from SQuInT 2016. You can also read more in Appl. Phys. B (2016) 122-131.