论文标题

开放量子随机步行的高组结构在距离上

Hypergroup structures of open quantum random walks on distance sets

论文作者

Sawada, Yusuke

论文摘要

怀尔德伯格(Wildberger)引入了从图上随机步行中构建遗传学离散高组的方法。我们将把他的方法应用于距离集的开放量子随机步行(OQRW),并证明任何不需要的Hermitian的离散高组都由OQRW在距离集上实现。我们将研究OQRW的分布在HyperGroup的视点中的距离集上。

Wildberger has introduced the method to construct a hermitian discrete hypergroup from a random walk on a graph. We will apply his method to an open quantum random walk (OQRW) on a distance set, and show that any discrete hypergroup which is not necessary hermitian is realized by an OQRW on a distance set. We will investigate distributions of OQRWs on distance sets in the view point of hypergroups.

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