Weak limit theorem of a two-phase quantum walk with one defect

@article{Endo2014WeakLT,
  title={Weak limit theorem of a two-phase quantum walk with one defect},
  author={Shimpei Endo and Takako Endo and Norio Konno and Etsuo Segawa and Masato Takei},
  journal={arXiv: Mathematical Physics},
  year={2014}
}
  • Shimpei Endo, Takako Endo, +2 authors Masato Takei
  • Published 2014
  • Physics, Mathematics
  • arXiv: Mathematical Physics
  • We attempt to analyze a one-dimensional space-inhomogeneous quantum walk (QW) with one defect at the origin, which has two different quantum coins in positive and negative parts. We call the QW "the two-phase QW", which we treated concerning localization theorems [10]. The two-phase QW has been expected to be a mathematical model of the topological insulator [16] which is an intense issue both theoretically and experimentally [3,5,11]. In this paper, we derive the weak limit theorem describing… CONTINUE READING

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