Etsuo Segawa

Quantum walks induced by Dirichlet random walks on infinite trees

2018 · Journal of Physics A Mathematical and Theoretical

Abstract We consider the Grover walk on infinite trees from the viewpoint of spectral analysis. From the previous work, infinite regular trees provide localization. In this paper, we give the complete characterization of the eigenspace …

A crossover between open quantum random walks to quantum walks

2020 · arXiv (Cornell University)

We propose an intermediate walk continuously connecting an open quantum random walk and a quantum walk with parameters $M\in \mathbb{N}$ controlling a decoherence effect; if $M=1$, the walk coincides with an open quantum random walk, …

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 …

A method of approximation of discrete Schrödinger equation with the normalized Laplacian by discrete-time quantum walk on graphs

2023 · arXiv (Cornell University)

We propose a class of continuous-time quantum walk models on graphs induced by a certain class of discrete-time quantum walk models with the parameter $ε\in [0,1]$. Here the graph treated in this paper can be …