[22a-A101-1~7] 3.11 Nanoscale optical science and near-field optics (formerly 3.12)

[22a-A101-5] Estimation of speed of convergence of quantum walks

〇Etsuo Segawa¹ (1.Yokohama Nat Univ)

Keywords:Quantum walk, Convergence speed, Dressed photon

The quantum walk model on the graph which receives inflow and releases outflow converges to a stationary state if the frequenct of the inflow is independent of the boundary. This model is considered to simulate an energy transfer of the dressed phpton. We define the speed of the convergence which is analueus to the mixing time of the corresponding random walk. We treat the k-th power of the cycle graph with the vertex number N which conncects the cycle graph to the complete graph. We show that if the lager the degree k is, the slower this convergence speed is, which is an uncounter intuitive behavior from the view point of random walk.