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
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.