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• W1993128879 abstract "We show analytically that particle trapping appears in a quantum process called quantum walk, in which the particle moves macroscopically correlating to the inner states. It has been well known that a particle in the ``Hadamard walk with two inner states spreads away quickly on a line. In contrast, we find one-dimensional quantum walk with multi-state in which a particle stays at the starting point entirely with high positive probability. This striking difference is explained from difference between degeneration of eigenvalues of the time-evolution matrices." @default.
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• W1993128879 date "2005-08-01" @default.
• W1993128879 modified "2023-09-29" @default.
• W1993128879 title "Localization of multi-state quantum walk in one dimension" @default.
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• W1993128879 doi "https://doi.org/10.1016/j.physa.2004.12.060" @default.
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