Measurements in the Lévy quantum walk

Physics – Quantum Physics

Scientific paper

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4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.76.054306

We study the quantum walk subjected to measurements with a L\'evy
waiting-time distribution. We find that the system has a sub-ballistic behavior
instead of a diffusive one. We obtain an analytical expression for the exponent
of the power law of the variance as a function of the characteristic parameter
of the L\'evy distribution.

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