31 citations · 79 across the 26 of their papers we have counts for
26 papers
Spectral analysis of hierarchical continuous-time quantum walks
Jirô Akahori, Yusuke Ide, Tomoki Kato +3
In this paper, we introduce hierarchical random walks at first. In this model, we use two types of random walkers, {global and local} walkers. The global walker chooses a local wal…
Multi-dimensional continuous time quantum walks related to the birth and death chains
Yusuke Ide, Norio Konno, Akihiro Narimatsu
In this paper, we consider multi-dimensional birth and death chains and continuous time quantum walks (CTQW) related to them. For CTQW related to our forms of multi-dimensional bir…
A Spectral Analysis of The Correlated Random Walk
Yusuke Ide, Akihiro Narimatsu
In this paper, we consider a spectral analysis of the Correlated Random Walk (CRW) on the path. We apply an analytical method for the Quantum Walk to CRW. For the isospectral coin…
Scaling limit of the time averaged distribution for continuous time quantum walk and Szegedy's walk on the path
Yusuke Ide
In this paper, we consider Szegedy's walk, a type of discrete time quantum walk, and corresponding continuous time quantum walk related to the birth and death chain. We show that t…
Perfect state transfer, Equitable partition and Continuous-time quantum walk based search
Yusuke Ide, Akihiro Narimatsu
In this paper, we consider a continuous-time quantum walk based search algorithm. We introduce equitable partition of the graph and perfect state transfer on it. By these two metho…
Metzler/Zeta Correspondence
Yusuke Ide, Takashi Komatsu, Norio Konno +1
We present an explicit formula for the determinant on the Metzler matrix of a digraph . Furthermore, we introduce a walk-type zeta function with respect to this Metzler matrix o…