preprint · arXiv (Cornell University) · 2009

Optimal correction of concatenated fault-tolerant quantum codes

Evans, Zachary W. E., Stephens, Ashley M.

Cited by 0Open access

Abstract

We present a method of concatenated quantum error correction in which improved classical processing is used with existing quantum codes and fault-tolerant circuits to more reliably correct errors. Rather than correcting each level of a concatenated code independently, our method uses information about the likelihood of errors having occurred at lower levels to maximize the probability of correctly interpreting error syndromes. Results of simulations of our method applied to the [[4,1,2]] subsystem code indicate that it can correct a number of discrete errors up to half of the distance of the concatenated code, which is optimal.

Cite this paper

APA 7

Evans, Z. W. E., & Stephens, A. M. (2009). Optimal correction of concatenated fault-tolerant quantum codes. arXiv (Cornell University). https://doi.org/10.48550/arxiv.0902.4506

MLA 9

Evans, Zachary W. E., and Ashley M. Stephens. “Optimal correction of concatenated fault-tolerant quantum codes.” arXiv (Cornell University), 2009, https://doi.org/10.48550/arxiv.0902.4506.

Chicago

Evans, Zachary W. E., and Ashley M. Stephens. 2009. “Optimal correction of concatenated fault-tolerant quantum codes.” arXiv (Cornell University). https://doi.org/10.48550/arxiv.0902.4506.

Harvard

Evans, Z.W.E. and Stephens, A.M. (2009) ‘Optimal correction of concatenated fault-tolerant quantum codes’, arXiv (Cornell University). Available at: https://doi.org/10.48550/arxiv.0902.4506.

BibTeX

@misc{evans2009optimal,
  title = {{Optimal correction of concatenated fault-tolerant quantum codes}},
  author = {Evans, Zachary W. E. and Stephens, Ashley M.},
  journal = {arXiv (Cornell University)},
  year = {2009},
  doi = {10.48550/arxiv.0902.4506}
}

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