Localizationlike effect in two-dimensional alternate quantum walks with periodic coin operations

Carlo Di Franco*, Mauro Paternostro

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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Abstract

Exploiting multidimensional quantum walks as feasible platforms for quantum computation and quantum simulation attracts constantly growing attention from a broad experimental physics community. Here, we propose a two-dimensional quantum walk scheme with a single-qubit coin that presents, in the considered regimes, a strong localizationlike effect on the walker. The result could provide new possible directions for the implementation of quantum algorithms or from the point of view of quantum simulation. We characterize the localizationlike effect in terms of the parameters of a step-dependent qubit operation that acts on the coin space after any standard coin operation, showing that a proper choice can guarantee a nonnegligible probability of finding the walker in the origin even for large times. We finally discuss the robustness to imperfections, a qualitative relation with coherences behavior, and possible experimental realizations of this model with the current state-of-the-art settings.

Original languageEnglish
Article number012328
Number of pages5
JournalPhysical Review A (Atomic, Molecular, and Optical Physics)
Volume91
Issue number1
DOIs
Publication statusPublished - 21 Jan 2015

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