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Universal topological phase of 2D stabilizer codes

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Universal topological phase of 2D stabilizer codes
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48
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CC Attribution - NonCommercial - NoDerivatives 3.0 Germany:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Release Date2011
LanguageEnglish

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Abstract
We show that 2D topological stabilizer codes can all be characterized in terms of a finite number of charges and string operators. This is true either for subspace or subsystem codes, and it has direct applications for error correction. Subspace codes are directly connected to topologically ordered systems, and we show that all 2D topological stabilizer codes are locally equivalent to several copies of one universal phase: Kitaev's topological code.