Topological quantum computing with a very noisy network and local error rates approaching one percent
Abstract
A scalable quantum computer could be built by networking together many simple processor cells, thus avoiding the need to create a single complex structure. The difficulty is that realistic quantum links are very error prone. A solution is for cells to repeatedly communicate with each other and so 'purify' any imperfections; however prior studies suggest that the cells themselves must then have prohibitively low internal error rates. Here we describe a method by which even error-prone cells can perform purification: groups of cells generate shared resource states, which then enable stabilization of topologically encoded data. Given a realistically noisy network (>=10% error rate) we find that our protocol can succeed provided that intra-cell error rates for initialisation, state manipulation and measurement are below 0.82%. This level of fidelity is already achievable in several laboratory systems.
Cite
@article{arxiv.1211.2217,
title = {Topological quantum computing with a very noisy network and local error rates approaching one percent},
author = {Naomi H. Nickerson and Ying Li and Simon C. Benjamin},
journal= {arXiv preprint arXiv:1211.2217},
year = {2013}
}
Comments
Published paper together with Sup. Info in one document