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- W2597006072 abstract "In this paper, we introduce a multi-dimensional generalization of Kitagawa’s split-step discrete-time quantum walk, study the spectrum of its evolution operator for the case of one-defect coins, and prove localization of the walk. Using a spectral mapping theorem, we can reduce the spectral analysis of the evolution operator to that of a discrete Schrödinger operator with variable coefficients, which is analyzed using the Feshbach map." @default.
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- W2597006072 date "2017-07-12" @default.
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- W2597006072 title "Localization of a multi-dimensional quantum walk with one defect" @default.
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- W2597006072 doi "https://doi.org/10.1007/s11128-017-1653-4" @default.
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