The Fourier and Grover walks on the two-dimensional lattice and torus

Masahiro Asano, Takashi Komatsu, Norio Konno +1

In this paper, we consider discrete-time quantum walks with moving shift (MS) and flip-flop shift (FF) on two-dimensional lattice ${\mathbb{Z}}^2$ and torus ${\pi }_N^2=(\mathbb{Z}/N{)}^2$.…