Related papers: Repeated measurements and random scattering in quantum walks

Repeated measurements and random scattering in quantum walks

URL: http://arxiv.org/abs/2405.20151v2
Date: Fri, 27 Sep 2024 15:04:48 GMT
Title: Repeated measurements and random scattering in quantum walks
Authors: Klaus Ziegler,
Abstract summary: We study the effect of random scattering in quantum walks on a finite graph and compare it with the effect of repeated measurements. We conclude that repeated measurements as well as random scattering provide efficient tools for controlling quantum walks.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We study the effect of random scattering in quantum walks on a finite graph and compare it with the effect of repeated measurements. To this end, a constructive approach is employed by introducing a localized and a delocalized basis for the underlying Hilbert space. This enables us to design Hamiltonians whose eigenvectors are either localized or delocalized. By presenting some specific examples we demonstrate that the localization of eigenvectors restricts the transition probabilities on the graph and leads to dark states in the monitored evolution. We conclude that repeated measurements as well as random scattering provide efficient tools for controlling quantum walks.

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