2011/03/23 by H. Bombin, Guillaume Duclos-Cianci, David Poulin · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.str-el #hep-th
paper · pdf · doi:10.1088/1367-2630/14/7/073048
published as New J. Phys. 14 (2012) 073048 · 4 pages, 3 figures
arxiv created 2011/03/23 · arxiv updated 2015/05/27
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.