We propose an implementation of holonomic (geometrical) quantum gates by means of semiconductor nanostructures. Our quantum hardware consists of semiconductor macroatoms driven by sequences of ultrafast laser pulses ({\it all optical control}). Our logical bits are Coulomb-correlated electron-hole pairs (excitons) in a four-level scheme selectively addressed by laser pulses with different polarization. A universal set of single and two-qubit gates is generated by adiabatic change of the Rabi frequencies of the lasers and by exploiting the dipole coupling between excitons.
@article{arxiv.quant-ph/0301090,
title = {Holonomic quantum gates: A semiconductor-based implementation},
author = {Paolo Solinas and Paolo Zanardi and Nino Zangh\`ı and Fausto Rossi},
journal= {arXiv preprint arXiv:quant-ph/0301090},
year = {2009}
}