We propose an all-geometric implementation of quantum computation using neutral atoms in cavity QED. We show how to perform generic single- and two-qubit gates, the latter by encoding a two-atom state onto a single, many-level atom. We compare different strategies to overcome limitations due to cavity imperfections.
@article{arxiv.quant-ph/0204030,
title = {Holonomic quantum computation with neutral atoms},
author = {A. Recati and T. Calarco and P. Zanardi and J. I. Cirac and P. Zoller},
journal= {arXiv preprint arXiv:quant-ph/0204030},
year = {2009}
}