12 citations · 32 across the 24 of their papers we have counts for
5 papers · 1 filter
On the average hitting times of the squares of cycles
Yoshiaki Doi, Norio Konno, Tomoki Nakamigawa +6
The exact formula for the average hitting time (HT, as an abbreviation) of simple random walks from one vertex to any other vertex on the square of an -vertex cycle grap…
Perfect state transfer in Grover walks between states associated to vertices of a graph
Sho Kubota, Etsuo Segawa
We study perfect state transfer in Grover walks, which are typical discrete-time quantum walk models. In particular, we focus on states associated to vertices of a graph. We call s…
A zeta function related to the transition matrix of the discrete-time quantum walk on a graph
Norio Konno, Iwao Sato, Etsuo Segawa
We present the structure theorem for the positive support of the cube of the Grover transition matrix of the discrete-time quantum walk (the Grover walk) on a general graph und…
Quantum walks defined by digraphs and generalized Hermitian adjacency matrices
Sho Kubota, Etsuo Segawa, Tetsuji Taniguchi
We propose a quantum walk defined by digraphs (mixed graphs). This is like Grover walk that is perturbed by a certain complex-valued function defined by digraphs. The discriminant…
Periodicity of Grover walks on generalized Bethe trees
S. Kubota, E. Segawa, T. Taniguchi +1
This paper explains the perfect characterization of the generalized Bethe trees by analyzing the spectrum of its transition matrix.