Universal topological phase of 2D stabilizer codes

TitleUniversal topological phase of 2D stabilizer codes
Publication TypeMiscellaneous
Year of Publication2011
AuthorsBombin H, Duclos-Cianci G, Poulin D
KeywordsTopological QC
AbstractTwo topological phases are equivalent if they are connected by a local unitary transformation. In this sense, classifying topological phases amounts to classifying long-range entanglement patterns. We show that all 2D topological stabilizer codes are equivalent to several copies of one universal phase: Kitaev's topological code. Error correction benefits from the corresponding local mappings.