Corpus ID: 40888115

Limit theorems of a two-phase quantum walk with one defect

@article{Endo2015LimitTO,
  title={Limit theorems of a two-phase quantum walk with one defect},
  author={Shimpei Endo and T. Endo and N. Konno and M. Takei and E. Segawa},
  journal={Quantum Inf. Comput.},
  year={2015},
  volume={15},
  pages={1373-1396}
}
  • Shimpei Endo, T. Endo, +2 authors E. Segawa
  • Published 2015
  • Physics, Mathematics, Computer Science
  • Quantum Inf. Comput.
  • We treat a position dependent quantum walk (QW) on the line which we assign two different time-evolution operators to positive and negative parts respectively. We call the model "the two-phase QW" here, which has been expected to be a mathematical model of the topological insulator. We obtain the stationary and time-averaged limit measures related to localization for the two-phase QW with one defect. This is the first result on localization for the two-phase QW. The analytical methods are… CONTINUE READING
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