Universal topological phase of 2D stabilizer codes
  Two 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. 
H. Bombin and Guillaume Duclos-Cianci and David Poulin
quant-ph cond-mat.str-el hep-th