Two-walker discrete-time quantum walks on the line with percolation

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Title: Two-walker discrete-time quantum walks on the line with percolation
Authors: Rigovacca, L
Di Franco, C
Item Type: Journal Article
Abstract: One goal in the quantum-walk research is the exploitation of the intrinsic quantum nature of multiple walkers, in order to achieve the full computational power of the model. Here we study the behaviour of two non-interacting particles performing a quantum walk on the line when the possibility of lattice imperfections, in the form of missing links, is considered. We investigate two regimes, statical and dynamical percolation, that correspond to different time scales for the imperfections evolution with respect to the quantum-walk one. By studying the qualitative behaviour of three two-particle quantities for different probabilities of having missing bonds, we argue that the chosen symmetry under particle-exchange of the input state strongly affects the output of the walk, even in noisy and highly non-ideal regimes. We provide evidence against the possibility of gathering information about the walkers indistinguishability from the observation of bunching phenomena in the output distribution, in all those situations that require a comparison between averaged quantities. Although the spread of the walk is not substantially changed by the addition of a second particle, we show that the presence of multiple walkers can be beneficial for a procedure to estimate the probability of having a broken link.
Issue Date: 25-Feb-2016
Date of Acceptance: 3-Feb-2016
ISSN: 2045-2322
Publisher: Nature Publishing Group
Journal / Book Title: Scientific Reports
Volume: 6
Sponsor/Funder: Engineering and Physical Sciences Research Council
Funder's Grant Number: EP/K034480/1
Publication Status: Published
Article Number: 22052
Appears in Collections:Quantum Optics and Laser Science
Faculty of Natural Sciences

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