Gauge Color Codes: Optimal Transversal Gates and Gauge Fixing in Topological Stabilizer Codes
Quantum Physics
2015-08-07 v6
Abstract
Color codes are topological stabilizer codes with unusual transversality properties. Here I show that their group of transversal gates is optimal and only depends on the spatial dimension, not the local geometry. I also introduce a generalized, subsystem version of color codes. In 3D they allow the transversal implementation of a universal set of gates by gauge fixing, while error-detecting measurements involve only 4 or 6 qubits.
Keywords
Cite
@article{arxiv.1311.0879,
title = {Gauge Color Codes: Optimal Transversal Gates and Gauge Fixing in Topological Stabilizer Codes},
author = {H. Bombin},
journal= {arXiv preprint arXiv:1311.0879},
year = {2015}
}
Comments
10 pages, 6 figures, as accepted in journal