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Structure of 2D Topological Stabilizer Codes

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Date and time Nov 04, 2011
from 01:10 PM to 02:00 PM
Location 3rd Floor Stewart Library, Fields Institute, 222 College Street, Toronto
Host Lucy Zhang

Hector Bombin

Perimeter Institute for Theoretical Physics

 

Abstract:

By characterizing 2D topological stabilizer codes in terms of 'lattice groups' on infinite lattices, we show that they can all be characterized in terms of topological charges and string operators.  This is true either for subspace or subsystem codes, and it has direct applications for error correction, for example.  Subspace codes are directly connected to topologically ordered condensed matter systems, and we show that all 2D topological stabilizer codes are locally equivalent to several copies of one universal phase: Kitaev's topological code.

 

(PLEASE NOTE NON-STANDARD TIME)

 

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