Absence of wave operators for one-dimensional quantum walks
arXiv:1809.07597 · doi:10.1007/s11005-019-01197-5
Abstract
We show that there exist pairs of two time evolution operators which do not have wave operators in a context of one-dimensional discrete time quantum walks. As a consequence, the borderline between short range type and long range type is decided.
arXiv comment10pages
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