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Quantum information spreading in a disordered quantum walk
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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.
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Noisy Cyclic Quantum Random Walk
In a noisy cyclic quantum walk, the eigenstate participation ratio correlates with spreading: below a numerically located noise strength near pi/3 the walker spreads, above it the walker localizes.
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