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

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.

preprint2010arXivOpen access
Takuya MachidaNorio Konno
quant-ph
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Open access2 authors1 topic
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Takuya MachidaNorio Konno

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