The following article is Open access

Clifford gates by code deformation

Published 7 April 2011 Published under licence by IOP Publishing Ltd
, , Citation H Bombin 2011 New J. Phys. 13 043005 DOI 10.1088/1367-2630/13/4/043005

1367-2630/13/4/043005

Abstract

Topological subsystem color codes add an important feature to the advantages of topological codes: error tracking only involves measuring two local operators in a two-dimensional setting. Unfortunately, currently known methods for computing with them are highly unpractical. We give a mechanism for implementing 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.

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10.1088/1367-2630/13/4/043005