Validity of the rotating-wave approximation in nonadiabatic holonomic quantum computation

Abstract

We examine the validity of the rotating-wave approximation (RWA) in nonadiabatic holonomic single-qubit gates. We demonstrate that the adoption of RWA may lead to a sharp decline in fidelity for rapid gate implementation and small energy separation between the excited and computational states. The validity of the RWA in the recent experimental realization of nonadiabatic holonomic quantum computation for a superconducting qubit is examined. © 2013 American Physical Society.