12 citations · 40 across the 35 of their papers we have counts for
Showing 2021 · math-phShow all
3 papers · 2 filters
math-ph2021
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…
math-ph2021
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…
math-ph2021
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…