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

Abstract

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.

arXiv comment12 pages

References in corpus (6)

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• Spectral Stability of Unitary Network Models
• Quantum walks with an anisotropic coin II: scattering theory
• Weak limit theorem for a one-dimensional split-step quantum walk
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• Weak limit theorem for a nonlinear quantum walk