由经典纠错码构造 p^m 态系统的量子纠错码
量子物理
2007-05-23 v3
摘要
我们将 Calderbank 等人利用 GF(4)-线性码构造量子纠错码的方法推广到 p^m 态系统。随后我们展示了如何由伴式确定错误。最后我们讨论了一类具有高效译码算法的量子码的系统化构造。
引用
@article{arxiv.quant-ph/9911011,
title = {Constructing quantum error-correcting codes for p^m-state systems from classical error-correcting codes},
author = {Ryutaroh Matsumoto and Tomohiko Uyematsu},
journal= {arXiv preprint arXiv:quant-ph/9911011},
year = {2007}
}
备注
10 pages, LaTeX2e. To appear in IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (ISSN 0916-8508), vol. E83-A, no. 10, Oct. 2000. Revision on Dec. 14, 1999: Added a note on a systematic construction of quantum codes with efficient decoding algorithms. Revision on June 26, 2000: Corrected lots of errors, and added a review on the overall error correction process. No original materials were added