Limit measures of inhomogeneous discrete-time quantum walks in one dimension

@article{Konno2013LimitMO,
  title={Limit measures of inhomogeneous discrete-time quantum walks in one dimension},
  author={N. Konno and T. Luczak and E. Segawa},
  journal={Quantum Information Processing},
  year={2013},
  volume={12},
  pages={33-53}
}
We treat three types of measures of the quantum walk (QW) with the spatial perturbation at the origin, which was introduced by Konno (Quantum Inf Proc 9:405, 2010): time averaged limit measure, weak limit measure, and stationary measure. From the first two measures, we see a coexistence of the ballistic and localized behaviors in the walk as a sequential result following (Konno in Quantum Inf Proc 9:405, 2010; Quantum Inf Proc 8:387–399, 2009). We propose a universality class of QWs with… Expand
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