paper

Driving quantum walk spreading with the coin operator

arXiv:0908.0019 · doi:10.1103/PhysRevA.80.042332

Abstract

We generalize the discrete quantum walk on the line using a time dependent unitary coin operator. We find an analytical relation between the long-time behaviors of the standard deviation and the coin operator. Selecting the coin time sequence allows to obtain a variety of predetermined asymptotic wave-function spreadings: ballistic, sub-ballistic, diffusive, sub-diffusive and localized.

6 pages, 3 figures, appendix added. to appear in PRA

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