量子纠错与正交几何
量子物理
2009-01-23 v3
摘要
引入了一个群论框架，它简化了已知量子纠错码的描述，并极大便利了新例子的构造。给出了如下码：将 3 个量子比特映射到 8 个量子比特纠正 1 个错误，4 到 10 个量子比特纠正 1 个错误，1 到 13 个量子比特纠正 2 个错误，以及 1 到 29 个量子比特纠正 5 个错误。
引用
@article{arxiv.quant-ph/9605005,
title = {Quantum Error Correction and Orthogonal Geometry},
author = {A. R. Calderbank and E. M Rains and P. W. Shor and N. J. A. Sloane},
journal= {arXiv preprint arXiv:quant-ph/9605005},
year = {2009}
}
备注
RevTex, 4 pages, no figures, submitted to Phys. Rev. Letters. We have changed the statement of Theorem 2 to correct it -- we now get worse rates than we previously claimed for our quantum codes. Minor changes have been made to the rest of the paper