6 papers
Pulsation of quantum walk on finite graph
Taisuke Hosaka, Etsuo Segawa
We study discrete-time quantum walks on weighted graphs, where every edge in an edge cut set is assigned a small weight . The parameter represents the strength of the conn…
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…
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…
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…
Parrondo's game of quantum search based on quantum walk
Taisuke Hosaka, Norio Konno
The Parrondo game, devised by Parrondo, means that winning strategy is constructed a combination of losing strategy. This situation is called the Parrondo paradox. The Parrondo gam…