12 citations · 32 across the 25 of their papers we have counts for
4 papers · 2 filters
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…
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…
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…
Staggered Quantum Walk on Hexagonal Lattices
Bruno Chagas, Renato Portugal, Stefan Boettcher +1
A discrete-time staggered quantum walk was recently introduced as a generalization that allows to unify other versions, such as the coined and Szegedy's walk. However, it also prod…