12 citations · 32 across the 24 of their papers we have counts for
9 papers · 1 filter
Dynamical system induced by quantum walk
Yusuke Higuchi, Etsuo Segawa
We consider the Grover walk model on a connected finite graph with two infinite length tails and we set an -infinite external source from one of the tails as the initi…
Eigenbasis of the Evolution Operator of 2-Tessellable Quantum Walks
Yusuke Higuchi, Renato Portugal, Iwao Sato +1
Staggered quantum walks on graphs are based on the concept of graph tessellation and generalize some well-known discrete-time quantum walk models. In this work, we address the clas…
Central limit theorems for open quantum random walks on the crystal lattices
Chul Ki Ko, Norio Konno, Etsuo Segawa +1
We consider the open quantum random walks on the crystal lattices and investigate the central limit theorems for the walks. On the integer lattices the open quantum random walks sa…
Conditional limit measure of one-dimensional quantum walk with absorbing sink
Mohamed Sabri, Etsuo Segawa, Martin Stefanak
We consider a two-state quantum walk on a line where after the first step an absorbing sink is placed at the origin. The probability of finding the walker at position , conditio…
Dispersive estimates for quantum walks on 1D lattice
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
We consider quantum walks with position dependent coin on 1D lattice . The dispersive estimate is shown…
Dynamics of solitons for nonlinear quantum walks
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
We present some numerical results for nonlinear quantum walks (NLQWs) studied by the authors analytically \cite{MSSSS18DCDS, MSSSS18QIP}. It was shown that if the nonlinearity is w…