Quantum walk on a ladder

Abstract

We study quantum walk on a ladder with combination of conventional and split-step protocols. The two components of the walk resulting from periodic boundary conditions can be made to have three kinds of probability distributions. Two of these are the one-sided and alternative ones. Using the differences between coin states of the individual component, we can simulate the third case in which both components have identical probability profiles. We also observe that the mutual information transfer between two components of the walk is minimized when this difference across the two sides of the ladder is maximized.

arXiv comment6 pages, 4 figures

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