Two-particle quantum walk on graphene structure graph.

Graphene, a new material with a hexagonal honeycomb sheet structure composed of a single layer of carbon atoms, is the world's thinnest and strongest substance known to human, it has low resistivity and strong light transmission characteristics, so it can be used as a candidate material for integrated circuit chips and new energy batteries. In this paper, we mainly discuss the quantum walk of two non-interacting particles on the graphene structure graph, in which we select coin operator G in coin space H C and construct shift operator S , the time evolution operator U is obtained from the tensor of G and S. Since two particles without interaction can occupy the same site, the initial state is a composite of two particles at the same site. On this foundation, the relation between the relative distance and evolution time of two non-interacting particles is studied by the distance evolution operator. • Graphene has a two-dimensional honeycomb structure, which can be used as a candidate material for integrated circuit chips and new energy batteries. • The study of two-particle quantum walks is currently a hot topic, and the evolution operator for two particles is obtained by constructing coin space and position space. • The distance between two non-interacting particles on a graphene structure graph over time is determined by relative distance. [ABSTRACT FROM AUTHOR]