Journal
PHYSICAL REVIEW A
Volume 73, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.73.062303
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We prove the existence of topological quantum error correcting codes with encoding rates k/n asymptotically approaching the maximum possible value. Explicit constructions of these topological codes are presented using surfaces of arbitrary genus. We find a class of regular toric codes that are optimal. For physical implementations, we present planar topological codes.
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