English

A comparative code study for quantum fault-tolerance

Quantum Physics 2012-12-04 v2

Abstract

We study a comprehensive list of quantum codes as candidates of codes to be used at the bottom, physical, level in a fault-tolerant code architecture. Using the Aliferis-Gottesman-Preskill (AGP) ex-Rec method we calculate the pseudo-threshold for these codes against depolarizing noise at various levels of overhead. We estimate the logical noise rate as a function of overhead at a physical error rate of p0=1×104p_0=1\times 10^{-4}. The Bacon-Shor codes and the Golay code are the best performers in our study.

Keywords

Cite

@article{arxiv.0711.1556,
  title  = {A comparative code study for quantum fault-tolerance},
  author = {Andrew W. Cross and David P. DiVincenzo and Barbara M. Terhal},
  journal= {arXiv preprint arXiv:0711.1556},
  year   = {2012}
}

Comments

v1: 33 pages, 16 figures. v2: 34 pages, several small corrections

R2 v1 2026-06-21T09:42:03.736Z