2013/11/30 by Carlo D. Franco, Carlo Di Franco, Mauro Paternostro
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computation #Computer science #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum computer #Quantum mechanics #Quantum walk #Quantum-Dot Cellular Automata #Qubit #Robustness (evolution) #Statistical physics #Theoretical computer science #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.91.012328
published as Phys. Rev. A 91, 012328 (2015) · 5 pages, 4 figures, RevTeX4
arxiv created 2015/01/21 · openalex publication_date 2015/01/21 · arxiv updated 2015/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.