Universal single-qubit operations based on purely geometric phase factors in adiabatic processes are demonstrated by utilizing a four-level system in a trapped single 40Ca+ ion connected by three oscillating fields. Robustness against parameter variations is studied. The scheme demonstrated here can be employed as a building block for large-scale holonomic quantum computations, which may be useful for large qubit systems with statistical variations in system parameters.
@article{arxiv.1304.6215,
title = {Realization of holonomic single-qubit operations},
author = {K. Toyoda and K. Uchida and A. Noguchi and S. Haze and S. Urabe},
journal= {arXiv preprint arXiv:1304.6215},
year = {2013}
}