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

Abstract

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.

References in corpus (2)

• Decoherence in quantum walks - a review
• Connecting the discrete and continuous-time quantum walks

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