Tailoring discrete quantum walk dynamics via extended initial conditions: Towards homogeneous probability distributions

Details Tailoring discrete quantum walk dynamics via extended initial conditions: Towards homogeneous probability distributions Tailoring discrete quantum walk dynamics via extended initial conditions: Towards homogeneous probability distributions

2010-04-06

arxiv.org/abs/1004.0976v1

New J. Phys 12, 123022 (2010)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1088/1367-2630/12/12/123022

We study the evolution of initially extended distributions in the coined
quantum walk on the line by analyzing the dispersion relation of the process
and its associated wave equations. This allows us, in particular, to devise an
initially extended condition leading to a uniform probability distribution
whose width increases linearly with time, with increasing homogeneity.

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