189 citations · 1.9k across the 148 of their papers we have counts for
4 papers · 2 filters
Periodicity for space-inhomogeneous quantum walks on the cycle
Toshiyuki Arai, Choon-Lin Ho, Yusuke Ide +1
In this paper, we consider periodicity for space-inhomogeneous quantum walks on the cycle. For isospectral coin cases, we propose a spectral analysis. Based on the analysis, we ext…
New theory of diffusive and coherent nature of optical wave via a quantum walk
Yusuke Ide, Norio Konno, Shigeki Matsutani +1
We propose a new theory on a relation between diffusive and coherent nature in one dimensional wave mechanics based on a quantum walk. It is known that the quantum walk in homogene…
Stationary measures for the three-state Grover walk with one defect in one dimension
Takako Endo, Hikari Kawai, Norio Konno
We obtain stationary measures for the one-dimensional three-state Grover walk with one defect by solving the corresponding eigenvalue problem. We clarify a relation between station…
The discrete-time quaternionic quantum walk and the second weighted zeta function on a graph
Norio Konno, Hideo Mitsuhashi, Iwao Sato
We define the quaternionic quantum walk on a finite graph and investigate its properties. This walk can be considered as a natural quaternionic extension of the Grover walk on a gr…