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math-ph2026
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…
math-ph2026
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…
math-ph2024
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…