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arXiv · 1809.07597

Absence of wave operators for one-dimensional quantum walks

Kazuyuki Wada
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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.

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Kazuyuki Wada. 2018-09-20. Absence of wave operators for one-dimensional quantum walks. https://doi.org/10.1007/s11005-019-01197-5

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