Geometric phases are an interesting resource for quantum computation, also in view of their robustness against decoherence effects. We study here the effects of the environment on a class of one-qubit holonomic gates that have been recently shown to be characterized by "optimal" working times. We numerically analyze the behavior of these optimal points and focus on their robustness against noise.
@article{arxiv.quant-ph/0604180,
title = {Robustness of optimal working points for non-adiabatic holonomic quantum computation},
author = {Antonio Trullo and Paolo Facchi and Rosario Fazio and Giuseppe Florio and Vittorio Giovannetti and Saverio Pascazio},
journal= {arXiv preprint arXiv:quant-ph/0604180},
year = {2009}
}