Robustness of nonadiabatic holonomic gates

Abstract

The robustness to different sources of error of the scheme for nonadiabatic holonomic gates proposed previously [New J. Phys. 14, 103035 (2012)] is investigated. Open system effects as well as errors in the driving fields are considered. It is found that the gates can be made error resilient by using sufficiently short pulses. The principal limit of how short the pulses can be made is given by the breakdown of the quasi-monochromatic approximation. A comparison with the resilience of adiabatic gates is carried out.