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Measurements in the L\'{e}vy quantum walk

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arxiv 0710.1320 v1 pith:43DZLKUH submitted 2007-10-05 quant-ph

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keywords distributionmeasurementsquantumwalkanalyticalbehaviorcharacteristicdiffusive
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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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