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Universal topological phase of 2D stabilizer codes

By H. Bombin, Guillaume Duclos-Cianci and David Poulin

Abstract

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.Comment: 4 pages, 3 figure

Topics: Quantum Physics, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory
Year: 2011
DOI identifier: 10.1088/1367-2630/14/7/073048
OAI identifier: oai:arXiv.org:1103.4606
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