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Measurements in the Lévy quantum walk

2007/10/05 by A. Romanelli, Alejandro Romanelli · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1103/physreva.76.054306

published as Phys. Rev. A 76, 054306 (2007) · 4 pages, 2 figures

arxiv created 2007/10/05 · openalex publication_date 2007/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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