From the 1 of 4 linked papers with an AI index.
4 papers
Robustness of periodicity in Grover walks under a magnetic vector potential
Hiroto Sekido, Etsuo Segawa
The paper investigates how adding a magnetic vector potential affects the periodic behavior of Grover quantum walks on finite graphs, deriving conditions for robustness and showing…
Resonant scattering for tunable quantum walks on graphs with tails
Kenta Higuchi, Ryuta Ishikawa, Hisashi Morioka +2
We study the resonant scattering for discrete time quantum walks on graphs with some tails. In our arguments, we reduce the study of resonances to the perturbation of eigenvalues o…
Pulsation of quantum walk between two arbitrary graphs with weakly connected bridge
Taisuke Hosaka, Etsuo Segawa
We consider the Grover walk on a finite graph composed of two arbitrary simple graphs connected by one edge, referred to as a bridge. The parameter assigned at the bridge re…
Pulsation of quantum walk on Johnson graph
Taisuke Hosaka, Etsuo Segawa
We propose a phenomenon of discrete-time quantum walks on graphs called the pulsation, which is a generalization of a phenomenon in the quantum searches. This phenomenon is discuss…