Effects of non-local initial conditions in the Quantum Walk on the line

Abstract

We report an enhancement of the decay rate of the survival probability when non-local initial conditions in position space are considered in the Quantum Walk on the line. It is shown how this interference effect can be understood analytically by using previously derived results. Within a restricted position subspace, the enhanced decay is correlated with a maximum asymptotic entanglement level while the normal decay rate corresponds to initial relative phases associated to a minimum entanglement level.

arXiv comment5 pages, 1 figure, Elsevier style, to appear in Physica A

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Cited by in corpus (5)

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• Limit theorems of a 3-state quantum walk and its application for discrete uniform measures
• Realization of the probability laws in the quantum central limit theorems by a quantum walk
• Directionality and quantum backfire in continuous-time quantum walks from delocalized states: Exact results