arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2207.00616quant-ph
收藏

基于测量的量子线在stabilizer PEPS中的分类

Classification of measurement-based quantum wire in stabilizer PEPS

Paul Herringer, Robert Raussendorf

AI总结:

该研究提出具有稳定子对称性的平移不变二维张量网络态stabilizer PEPS,对其作为基于测量的量子线的传输行为完成分类,共得13类(含一类Clifford量子元胞自动机),丰富了量子线态的分类体系。

摘要:

我们研究一类具有稳定子对称性的平移不变二维张量网络态,将其称为stabilizer PEPS(稳定子投影纠缠对态)。簇态、GHZ态和环面上编码的态均属于这一类。我们探究了stabilizer PEPS用于基于测量的量子线的传输能力,并对其传输行为给出了完整分类。传输行为共分为13类,其中一类对应Clifford量子元胞自动机,此外我们还识别出另外12类。

英文摘要:

We consider a class of translation-invariant 2D tensor network states with a stabilizer symmetry, which we call stabilizer PEPS. The cluster state, GHZ state, and states in the toric code belong to this class. We investigate the transmission capacity of stabilizer PEPS for measurement-based quantum wire, and arrive at a complete classification of transmission behaviors. The transmission behaviors fall into 13 classes, one of which corresponds to Clifford quantum cellular automata. In addition, we identify 12 other classes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑