Driving quantum walk spreading with the coin operator

Details Driving quantum walk spreading with the coin operator Driving quantum walk spreading with the coin operator

2009-07-31

arxiv.org/abs/0908.0019v2

Physics

Quantum Physics

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

Scientific paper

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.

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