Topological Quantum Error Correction with Optimal Encoding Rate

Details Topological Quantum Error Correction with Optimal Encoding Rate Topological Quantum Error Correction with Optimal Encoding Rate

2006-02-06

arxiv.org/abs/quant-ph/0602063v2

Phys.Rev.A73:062303,2006

Physics

Quantum Physics

REVTEX4 file, 5 figures

Scientific paper

10.1103/PhysRevA.73.062303

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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