We show how to realize, by means of non-abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring together the quantum coherence stabilization virtues of decoherence-free subspaces and the fault-tolerance of all-geometric holonomic control. We discuss the implementation of this scheme in the context of quantum information processing using trapped ions and quantum dots.
@article{arxiv.quant-ph/0506086,
title = {Holonomic quantum computation in decoherence-free subspaces},
author = {L. -A. Wu and P. Zanardi and D. A. Lidar},
journal= {arXiv preprint arXiv:quant-ph/0506086},
year = {2007}
}
Comments
4 pages, no figures. v2: minor changes. To appear in PRL