English

Nonadditive quantum error-correcting code

Quantum Physics 2009-11-13 v1

Abstract

We report the first nonadditive quantum error-correcting code, namely, a ((9,12,3))((9,12,3)) code which is a 12-dimensional subspace within a 9-qubit Hilbert space, that outperforms the optimal stabilizer code of the same length by encoding more levels while correcting arbitrary single-qubit errors.

Keywords

Cite

@article{arxiv.0704.2122,
  title  = {Nonadditive quantum error-correcting code},
  author = {Sixia Yu and Qing Chen and C. H. Lai and C. H. Oh},
  journal= {arXiv preprint arXiv:0704.2122},
  year   = {2009}
}
R2 v1 2026-06-21T08:19:22.915Z