Thresholds for correcting errors, erasures, and faulty syndrome measurements in degenerate quantum codes

Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko · 2015 · Phys. Rev. Lett. 115, 050502

| 编号 QE248 | 主题 译码算法 | 链接 arXiv:1412.6172 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

We suggest a technique for constructing lower (existence) bounds for the fault-tolerant threshold applicable to degenerate quantum codes with sublinear distance scaling. We give explicit analytic expressions combining probabilities of erasures, depolarizing errors, and phenomenological syndrome measurement errors for quantum LDPC codes with logarithmic or larger distances. These threshold estimates are parametrically better than the existing analytical bound based on percolation.

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