纠缠度量与近似量子纠错
量子物理
2008-01-15 v3
摘要
本文证明,若量子信道中纠缠的损失足够小,则可实现近似量子纠错,从而推广了相干信息的相关结论。我们针对纠缠形成(entanglement of formation)与可提取纠缠(distillable entanglement)给出了显式界,并且这些界自然地适用于介于二者之间的其他双部纠缠度量。我们分析了所导出判据的稳健性,并比较了它们的紧致性。作为附带结果,我们还证明了在任意给定有限维双部系统中,纠缠形成与可提取纠缠之间差距可达到多大程度的一个上界,从而给出了以纠缠形成刻画可提取性的一个充分条件。
引用
@article{arxiv.0706.1815,
title = {Entanglement measures and approximate quantum error correction},
author = {Francesco Buscemi},
journal= {arXiv preprint arXiv:0706.1815},
year = {2008}
}
评论
7 pages, two-columned revtex4, no figures. v1: Deeply revised and extended version: different entanglement measures are separately considered, references are added, and some remarks are stressed. v2: Added a sufficient condition for distillability in terms of entanglement of formation; published version