Induced on-demand revival in coined quantum walks on infinite -dimensional lattices
arXiv:2201.03307 · doi:10.1103/PhysRevA.105.032413
Abstract
The study of recurrences and revivals in quantum systems has attracted a great deal of interest because of its importance in the control of quantum systems and its potential use in developing new technologies. In this work, we introduce a protocol to induce full-state revivals in a huge class of quantum walks on a -dimensional lattice governed by a -dimensional coin system. The protocol requires two repeated interventions in the coin degree of freedom. We also present a characterization of the walks that admits such a protocol. Moreover, we modify the quantity known as Pólya number, typically used in the study of recurrences in classical random walks and quantum walks, to create a witness of the first revival of the walk.
Author's accepted version
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