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• W2557314380 abstract "We analyze the localization of quantum walks on a one-dimensional finite graph using vector-distance. We first vectorize the probability distribution of a quantum walker in each node. Then we compute out the probability distribution vectors of quantum walks in infinite and finite graphs in the presence of static disorder respectively, and get the distance between these two vectors. We find that when the steps taken are small and the boundary condition is tight, the localization between the infinite and finite cases is greatly different. However, the difference is negligible when the steps taken are large or the boundary condition is loose. It means quantum walks on a one-dimensional finite graph may also suffer from localization in the presence of static disorder. Our approach and results can be generalized to analyze the localization of quantum walks in higher-dimensional cases." @default.
• W2557314380 created "2016-12-08" @default.
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• W2557314380 date "2016-11-29" @default.
• W2557314380 modified "2023-09-27" @default.
• W2557314380 title "Localization of quantum walks on finite graphs" @default.
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• W2557314380 doi "https://doi.org/10.1088/1674-1056/25/12/120303" @default.
• W2557314380 hasPublicationYear "2016" @default.
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