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quant-ph2026
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…
quant-ph2025
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…