Calderbank-Shor-Steane量子码的扩充
量子物理
2007-05-23 v2
摘要
研究表明，若一个经典纠错码 C = [n,k,d] 包含其对偶码 C^{\perp} \subseteq C，且可扩充为 C' = [n,k' > k+1, d']，则可将其转换为参数为 [[ n, k+k' - n, min(d, 3d'/2) ]] 的量子码。这是对先前构造的推广，使得许多高效的新型码得以发现。文中讨论了基于经典Bose-Chaudhuri-Hocquenghem（BCH）码的例子。
引用
@article{arxiv.quant-ph/9802061,
title = {Enlargement of Calderbank Shor Steane quantum codes},
author = {Andrew M. Steane},
journal= {arXiv preprint arXiv:quant-ph/9802061},
year = {2007}
}
备注
12 pages. Submitted to IEEE Trans. Inf. Theory. Mistake in proof corrected