One-dimensional quantum walks with one defect

Details One-dimensional quantum walks with one defect One-dimensional quantum walks with one defect

2010-10-27

arxiv.org/abs/1010.5762v1

Physics

Quantum Physics

Scientific paper

The CGMV method allows for the general discussion of localization properties for the states of a one-dimensional quantum walk, both in the case of the integers and in the case of the non negative integers. Using this method we classify, according to such localization properties, all the quantum walks with one defect at the origin, providing explicit expressions for the asymptotic return probabilities at the origin.

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