English

Quantum BCH Codes

Quantum Physics 2007-05-23 v1

Abstract

After a brief introduction to both quantum computation and quantum error correction, we show how to construct quantum error-correcting codes based on classical BCH codes. With these codes, decoding can exploit additional information about the position of errors. This error model - the quantum erasure channel - is discussed. Finally, parameters of quantum BCH codes are provided.

Keywords

Cite

@article{arxiv.quant-ph/9910060,
  title  = {Quantum BCH Codes},
  author = {Markus Grassl and Thomas Beth},
  journal= {arXiv preprint arXiv:quant-ph/9910060},
  year   = {2007}
}