Clifford Gates by Code Deformation
Quantum Physics
2015-05-19 v2
Abstract
Topological subsystem color codes add to the advantages of topological codes an important feature: error tracking only involves measuring 2-local operators in a two dimensional setting. Unfortunately, known methods to compute with them were highly unpractical. We give a mechanism to implement all Clifford gates by code deformation in a planar setting. In particular, we use twist braiding and express its effects in terms of certain colored Majorana operators.
Keywords
Cite
@article{arxiv.1006.5260,
title = {Clifford Gates by Code Deformation},
author = {H. Bombin},
journal= {arXiv preprint arXiv:1006.5260},
year = {2015}
}
Comments
Extended version with more details