Hypergroup Structures of Open Quantum Random Walks on Distance Sets

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Open Systems & Information Dynamics Pub Date : 2024-01-23 DOI:10.1142/s1230161223500191

Yusuke Sawada

引用次数: 0

Abstract

Wildberger introduced the method of constructing a Hermitian discrete hypergroup from a random walk on a graph. In this study, we will apply his method to an open quantum random walk (OQRW) on a distance set and show that any discrete hypergroup that is not necessarily Hermitian can be realized using the OQRW on a distance set. We also investigate the distributions of OQRWs on distance sets in the view point of hypergroups.

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距离集上开放量子随机漫步的超群结构

维尔德伯格提出了从图上随机漫步构建赫米蒂离散超群的方法。在本研究中，我们将把他的方法应用于距离集上的开放量子随机游走（OQRW），并证明任何不一定是赫米特的离散超群都可以用距离集上的 OQRW 来实现。我们还从超群的角度研究了OQRW在距离集上的分布。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Open Systems & Information Dynamics 工程技术-计算机：信息系统

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.