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arXiv · 1103.1180

Return probability of one-dimensional discrete-time quantum walks with final-time dependence

Yusuke Ide·Norio Konno·Takuya Machida·Etsuo Segawa
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Abstract

We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. Moreover, we discuss a relation between the quantum walk and the corresponding final-time dependent classical random walk.

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Yusuke Ide, Norio Konno, Takuya Machida, Etsuo Segawa. 2011-06-28. Return probability of one-dimensional discrete-time quantum walks with final-time dependence. https://arxiv.org/abs/1103.1180

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