Notes on Inhomogeneous Quantum Walks

Abstract

We study a class of discrete-time quantum walks with inhomogeneous coins defined in [Y. Shikano and H. Katsura, Phys. Rev. E {\bf 82}, 031122 (2010)]. We establish symmetry properties of the spectrum of the evolution operator, which resembles the Hofstadter butterfly.

4 pages, 2 figures, as the proceedings of QCMC 2010

Cited by in corpus (2)

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