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

Physics – Quantum Physics

Scientific paper

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11 pages, title changed, Quantum Information and Computation (in press)

Scientific paper

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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