Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators

@inproceedings{Andrade2018DiscretetimeQW,
  title={Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators},
  author={Roberto F. S. Andrade and Andre M. C. Souza},
  year={2018}
}
Properties of one dimensional discrete-time quantum walks are sensitive to the presence of inhomogeneities in the substrate, which can be generated by defining position dependent coin operators. Deterministic aperiodic sequences of two or more symbols provide ideal environments where these properties can be explored in a controlled way. This work discusses a two-coin model resulting from the construction rules that lead to the usual fractal Cantor set. Although the fraction of the less frequent… CONTINUE READING

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