A limit theorem for a 3-period time-dependent quantum walk

@article{Grnbaum2015ALT,
  title={A limit theorem for a 3-period time-dependent quantum walk},
  author={F. Gr{\"u}nbaum and T. Machida},
  journal={Quantum Inf. Comput.},
  year={2015},
  volume={15},
  pages={50-60}
}
We consider a discrete-time 2-state quantum walk on the line. The state of the quantum walker evolves according to a rule which is determined by a coin-flip operator and a position-shift operator. In this paper we take a 3-periodic time evolution as the rule. For such a quantum walk, we get a limit distribution which expresses the asymptotic behavior of the walker after a long time. The limit distribution is different from that of a time-independent quantum walk or a 2-period time-dependent… Expand

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