Quantum information spreading in a disordered quantum walk

TL;DR

This paper introduces a quantum probing protocol using Quantum Walks and Quantum Fisher Information to analyze information spreading, transport phenomena, and localization in disordered quantum systems.

Contribution

It presents a novel method employing Quantum Walks and Fisher Information to study information dynamics and localization in disordered quantum environments.

Findings

Quantum Walks can detect defects and perturbations in complex networks.

The approach reveals anomalous and classical transport behaviors.

Quantum Fisher Information effectively quantifies information about system disorder.

Abstract

We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern. We employ Quantum Fisher Information, as a figure of merit, to quantify extractable information about an unknown parameter encoded within the Quantum Walk evolution. Although the approach is universal, we focus on the coherent static and dynamic disorder to investigate anomalous and classical transport as well as Anderson localization. Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks, both classical and quantum.