Corpus ID: 18543985

One-dimensional quantum walks via generating function and the CGMV method

@article{Konno2014OnedimensionalQW,
  title={One-dimensional quantum walks via generating function and the CGMV method},
  author={Norio Konno and Etsuo Segawa},
  journal={Quantum Inf. Comput.},
  year={2014},
  volume={14},
  pages={1165-1186}
}
  • Norio Konno, Etsuo Segawa
  • Published 2014
  • Mathematics, Computer Science, Physics
  • Quantum Inf. Comput.
  • We treat a quantum walk (QW) on the line whose quantum coin at each vertex tends to be the identity as the distance goes to infinity. We obtain a limit theorem that this QW exhibits localization with not an exponential but a "power-law" decay around the origin and a "strongly" ballistic spreading called bottom localization in this paper. This limit theorem implies the weak convergence with linear scaling whose density has two delta measures at $x=0$ (the origin) and $x=1$ (the bottom) without… CONTINUE READING

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