We analyze a scheme for quantum computation where quantum gates can be continuously changed from standard dynamic gates to purely geometric ones. These gates are enacted by controlling a set of parameters that are subject to unwanted stochastic fluctuations. This kind of noise results in a departure from the ideal case that can be quantified by a gate fidelity. We find that the maximum of this fidelity corresponds to quantum gates with a vanishing dynamical phase.
@article{arxiv.quant-ph/0407177,
title = {Geometric quantum gates robust against stochastic control errors},
author = {Shi-Liang Zhu and Paolo Zanardi},
journal= {arXiv preprint arXiv:quant-ph/0407177},
year = {2009}
}