Atomic systems in regular lattices are intriguing systems for implementing ideas in quantum simulation and information processing. Focusing on laser cooled ions forming Wigner crystals in Penning traps, we find a robust and simple approach to engineering non-trivial 2-body interactions sufficient for universal quantum computation. We then consider extensions of our approach to the fast generation of large cluster states, and a non-local architecture using an asymmetric entanglement generation procedure between a Penning trap system and well-established linear Paul trap designs.
@article{arxiv.0706.1951,
title = {Wigner crystals of ions as quantum hard drives},
author = {J. M. Taylor and T. Calarco},
journal= {arXiv preprint arXiv:0706.1951},
year = {2009}
}