Notes on Inhomogeneous Quantum Walks
Yutaka Shikano, Hosho Katsura, Timothy Ralph, Ping Koy Lam · AIP conference proceedings · 2011
We study a class of discrete‐time quantum walks with inhomogeneous coins defined in [Y. Shikano and H. Katsura, Phys. Rev. E 82, 031122 (2010)]. We establish symmetry properties of the spectrum of the evolution operator, which resembles the Hofstadter butterfly.