论文标题

完美的边缘状态转移在Cubelike图上

Perfect edge state transfer on cubelike graphs

论文作者

Cao, Xiwang

论文摘要

完美(量子)状态转移已被证明是量子信息处理的有效模型。在本文中,我们给出具有完美边缘状态转移的近距离图的特征。通过使用提升技术,我们表明每个弯曲功能以及某些半弯曲功能也可以产生一些有害虫的图。提供了此类图的一些具体构造。值得注意的是,使用我们的方法,可以获得一些具有害虫的无限图。

Perfect (quantum) state transfer has been proved to be an effective model for quantum information processing. In this paper, we give a characterization of cubelike graphs having perfect edge state transfer. By using a lifting technique, we show that every bent function, and some semi-bent functions as well, can produce some graphs having PEST. Some concrete constructions of such graphs are provided. Notably, using our method, one can obtain some classes of infinite graphs possessing PEST.

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