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- W2951008096 abstract "We study discrete-time quantum walks on a half line by means of spectral analysis. Cantero et al. [1] showed that the CMV matrix, which gives a recurrence relation for the orthogonal Laurent polynomials on the unit circle [2], expresses the dynamics of the quantum walk. Using the CGMV method introduced by them, the name is taken from their initials, we obtain the spectral measure for the quantum walk. As a corollary, we give another proof for localization of the quantum walk on homogeneous trees shown by Chisaki et al. [3]." @default.
- W2951008096 created "2019-06-27" @default.
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- W2951008096 date "2010-08-30" @default.
- W2951008096 modified "2023-09-24" @default.
- W2951008096 title "Localization of discrete-time quantum walks on a half line via the CGMV method" @default.
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- W2951008096 doi "https://doi.org/10.48550/arxiv.1008.5109" @default.
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