纠错能力为 t 的量子码在多于 t 个错误时的保真度
量子物理
2009-11-06 v5
摘要
研究纠错能力为 t 的量子码在错误数大于 t 时的行为十分重要，因为除了 t 个可纠正的大错误外，很可能还存在小错误。我们给出了在一般无记忆信道上允许多于 t 个错误时，t 纠错稳定子码保真度的下界。我们还表明，通过增加码长可使保真度任意接近 1。
引用
@article{arxiv.quant-ph/0011047,
title = {Fidelity of a t-error correcting quantum code with more than t errors},
author = {Ryutaroh Matsumoto},
journal= {arXiv preprint arXiv:quant-ph/0011047},
year = {2009}
}
备注
9 pages, ReVTeX4 beta 5. To be published in Phys. Rev. A. The lower bound is made tighter in version 4 and 5. All approximations in the first version are removed, and a lower bound for the average of the fidelity is given in the second version. A critical error is corrected