Sho Kubota

Combinatorial necessary conditions for regular graphs to induce periodic quantum walks

2021 · arXiv (Cornell University)

We derive combinatorial necessary conditions for discrete-time quantum walks defined by regular mixed graphs to be periodic. If the quantum walk is periodic, all the eigenvalues of the time evolution matrices must be algebraic integers. …

Perfect state transfer in Grover walks between states associated to vertices of a graph

2021 · arXiv (Cornell University)

We study perfect state transfer in Grover walks, which are typical discrete-time quantum walk models. In particular, we focus on states associated to vertices of a graph. We call such states vertex type states. Perfect …

A convergence time of Grover walk on regular graph to stationary state

2022 · arXiv (Cornell University)

We consider a quantum walk model on a finite graph which has an interaction with the outside. Here a quantum walker from the outside penetrates the graph and also a quantum walker in the graph …