Holonomic quantum computation is the idea to use non-Abelian geometric phases to implement universal quantum gates that are robust to fluctuations in control parameters. Here, we propose a compact design for a holonomic quantum computer based on coupled three-level systems. The scheme does not require adiabatic evolution and can be implemented in arrays of atoms or ions trapped in tailored standing wave potentials.
@article{arxiv.1404.2102,
title = {Realization of a holonomic quantum computer in a chain of three-level systems},
author = {Zeynep Nilhan Gürkan and Erik Sjöqvist},
journal= {arXiv preprint arXiv:1404.2102},
year = {2015}
}