距离集上开量子随机游动的超群结构
Hypergroup structures of open quantum random walks on distance sets
摘要:
Wildberger介绍了从图上的随机游动构造厄米特离散超群的方法。我们将把他的方法应用到距离集上的开量子随机游动(OQRW),并证明了任何不一定是厄米特的离散超群都可以由距离集上的开量子随机游动实现。我们将从超群的角度研究距离集上OQRW的分布。
英文摘要:
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.
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。