A comparative code study for quantum fault-tolerance

Details A comparative code study for quantum fault-tolerance A comparative code study for quantum fault-tolerance

2007-11-09

arxiv.org/abs/0711.1556v2

Physics

Quantum Physics

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

Scientific paper

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 $p_0=1\times 10^{-4}$. The Bacon-Shor codes and the Golay code are the best performers in our study.

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