4.7 Article

A weak limit theorem for a class of long-range-type quantum walks in 1d

期刊

QUANTUM INFORMATION PROCESSING
卷 19, 期 1, 页码 -

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SPRINGER
DOI: 10.1007/s11128-019-2491-3

关键词

Quantum walks; Weak limit theorem; Scattering theory

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  1. Research Institute of Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University

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We derive the weak limit theorem for a class of long-range-type quantum walks. To do it, we analyze spectral properties of a time evolution operator and prove that modified wave operators exist and are complete.

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