5 citations · 9 across the 9 of their papers we have counts for
9 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…
A study of the Antlion Random Walk
Akihiro Narimatsu, Tomoki Yamagami
Random walks (RWs) are fundamental stochastic processes with applications across physics, computer science, and information processing. A recent extension, the laser chaos decision…
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…
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…
Unitary equivalence classes of split-step quantum walks
Akihiro Narimatsu, Hiromichi Ohno, Kazuyuki Wada
This study investigates the unitary equivalence of split-step quantum walks (SSQW). We consider a new class of quantum walks which includes all SSQWs. We show the explicit form of…
Spectral analysis for a multi-dimensional split-step quantum walk with a defect
Toru Fuda, Akihiro Narimatsu, Kei Saito +1
This paper studies the spectrum of a multi-dimensional split-step quantum walk with a defect that cannot be analysed in the previous papers. To this end, we have developed a new te…
Localization does not occur for the Fourier walk on the multi-dimensional lattice
Akihiro Narimatsu
The existence of localization for the Grover walk on the multi-dimensional lattice is known. This paper gives some conditions for the existence of localization for the space-homoge…
The Fourier and Grover walks on the two-dimensional lattice and torus
Masahiro Asano, Takashi Komatsu, Norio Konno +1
In this paper, we consider discrete-time quantum walks with moving shift (MS) and flip-flop shift (FF) on two-dimensional lattice and torus .…