Notes on Inhomogeneous Quantum Walks
classification
🪐 quant-ph
cond-mat.dis-nncond-mat.stat-mechmath-phmath.MP
keywords
inhomogeneousquantumwalksbutterflyclasscoinsdefineddiscrete-time
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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.
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