Notes on Inhomogeneous Quantum Walks

Details Notes on Inhomogeneous Quantum Walks Notes on Inhomogeneous Quantum Walks

2011-04-11

arxiv.org/abs/1104.2010v2

AIP Conf. Proc. 1363, 151 (2011)

Physics

Quantum Physics

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

Scientific paper

10.1063/1.3630169

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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