Universal topological phase of 2D stabilizer codes
Mar, 2011
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Abstract: (arXiv)
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.Note:
- 4 pages, 3 figures
- 03.67.Pp
- 03.65.Vf
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