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quant-ph2026
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…
quant-ph2024
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…
quant-ph2024
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…