Limit theorem for a time-dependent coined quantum walk on the line

Physics – Quantum Physics

Scientific paper

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Scientific paper

We study time-dependent discrete-time quantum walks on the one-dimensional
lattice. We compute the limit distribution of a two-period quantum walk defined
by two orthogonal matrices. For the symmetric case, the distribution is
determined by one of two matrices. Moreover, limit theorems for two special
cases are presented.

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