Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}

Jean-Pierre Tillich, Gilles Zemor · 2009 · IEEE Trans. Inf. Theory 60(2), 1193-1202 (2014)

| 编号 QE112 | 主题 qLDPC 码 | 链接 arXiv:0903.0566 |

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。

The current best asymptotic lower bound on the minimum distance of quantum LDPC codes with fixed non-zero rate is logarithmic in the blocklength. We propose a construction of quantum LDPC codes with fixed non-zero rate and prove that the minimum distance grows proportionally to the square root of the blocklength.

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