[18p-A33-1~19] 3.11 Nanoscale optical science and near-field optics

5:30 PM - 5:45 PM JST(8:30 AM - 8:45 AM UTC)

[18p-A33-16] The wave functions of quantum walks on regular graphs

〇Seiken Saito¹ (1.Kogakuin Univ.)

Keywords:

doressed photon,quantum walks

In this study, we consider the time evolution matrix of a continuous-time quantum walk defined by the adjacency matrix of a regular graph. We give a unified representation of the time evolution matrix from the perspective of the trace formula. It is represented by the Bessel function and also includes a sequence with geometric information about the number of paths in the graph.