2 citations · 2 across the 3 of their papers we have counts for
5 papers
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 .…