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arXiv · 0711.1556

A comparative code study for quantum fault-tolerance

Andrew W. Cross·David P. DiVincenzo·Barbara M. Terhal
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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 $p_0=1\times 10^{-4}$. The Bacon-Shor codes and the Golay code are the best performers in our study.

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Andrew W. Cross, David P. DiVincenzo, Barbara M. Terhal. 2009-02-06. A comparative code study for quantum fault-tolerance. https://arxiv.org/abs/0711.1556

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