Topological Quantum Error Correction with Optimal Encoding Rate

H. Bombin; M. A. Martin-Delgado

doi:10.1103/PhysRevA.73.062303

Topological Quantum Error Correction with Optimal Encoding Rate

量子物理 2016-09-08 v2 强关联电子图形学高能物理 - 理论数学物理代数拓扑组合数学 math.MP

作者: H. Bombin , M. A. Martin-Delgado

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摘要

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.

关键词

quantum error correction quantum state discrimination quantum search algorithms

引用

@article{arxiv.quant-ph/0602063,
  title  = {Topological Quantum Error Correction with Optimal Encoding Rate},
  author = {H. Bombin and M. A. Martin-Delgado},
  journal= {arXiv preprint arXiv:quant-ph/0602063},
  year   = {2016}
}

备注

REVTEX4 file, 5 figures

Topological Quantum Error Correction with Optimal Encoding Rate

摘要

关键词

引用

备注

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