12 citations · 32 across the 25 of their papers we have counts for
7 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…
Resonances in finitely perturbed quantum walks, resonance expansion and generic simplicity
Kenta Higuchi, Hisashi Morioka, Etsuo Segawa
We define resonances for finitely perturbed quantum walks as poles of the scattering matrix in the lower half plane. We show a resonance expansion which describes the time evolutio…
A discontinuity of the energy of quantum walk in impurities
Kenta Higuchi, Takashi Komatsu, Norio Konno +2
We consider the discrete-time quantum walk whose local dynamics is denoted by at the perturbed region and free at the other positions. We obtain the station…
Relation between quantum walks with tails and quantum walks with sinks on finite graphs
Norio Konno, Etsuo Segawa, Martin Štefaňák
We connect the Grover walk with sinks to the Grover walk with tails. The survival probability of the Grover walk with sinks in the long time limit is characterized by the centered…
A variant of the discrete Burgers equation derived from the correlated random walk and its ultradiscretization
Akiko Fukuda, Etsuo Segawa, Sennosuke Watanabe
In this paper, we show that a variant of the discrete Burgers equation can be obtained through the Cole--Hopf transformation to a generalized discrete diffusion equation correspond…