4 papers · 1 filter
Robustness of periodicity in Grover walks under a magnetic vector potential
Hiroto Sekido, Etsuo Segawa
We study the effect of magnetic vector potentials on periodic Grover walks on finite graphs. The magnetic vector potential is introduced through the framework of quantum graphs, wh…
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 rep…
QW-Search/Zeta Correspondence
Taisuke Hosaka, Norio Konno, Etsuo Segawa
We consider the connection between this zeta function and quantum search via quantum walk. First, we give an explicit expression of the zeta function on the one-dimensional torus i…
Sensitivity of quantum walk to phase reversal and geometric perturbations: an exploration in complete graphs
Taisuke Hosaka, Renato Portugal, Etsuo Segawa
In this paper, we analyze the dynamics of quantum walks on a graph structure resulting from the integration of a main connected graph and a secondary connected graph . This…