Simple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting Codes
量子物理
2016-11-17 v2 信息论
math.IT
摘要
Simple rate-1/3 single-error-correcting unrestricted and CSS-type quantum convolutional codes are constructed from classical self-orthogonal -linear and -linear convolutional codes, respectively. These quantum convolutional codes have higher rate than comparable quantum block codes or previous quantum convolutional codes, and are simple to decode. A block single-error-correcting [9, 3, 3] tail-biting code is derived from the unrestricted convolutional code, and similarly a [15, 5, 3] CSS-type block code from the CSS-type convolutional code.
引用
@article{arxiv.quant-ph/0501099,
title = {Simple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting Codes},
author = {G. David Forney, and Saikat Guha},
journal= {arXiv preprint arXiv:quant-ph/0501099},
year = {2016}
}
备注
5 pages; to appear in Proceedings of 2005 IEEE International Symposium on Information Theory