The dynamical evolution of open quantum systems with defects is a subject of great interest in several contexts, such as quantum error correction, optomechanical systems, complex quantum media, etc. In this work, Farzam Nosrati and coauthors have shown that a discrete-time quantum walk can be used as a probe to extract information about the complexity of the system. They could show that properties of the defects and the perturbations in the complex quantum (or classical) system can be assessed by looking at how the Quantum Fisher Information of an unknown parameter evolves as the quantum walk takes more and more steps. Although their idea is rather general, they concentrated on anomalous transport and Anderson localization using an interferometric setup, which lends itself well (with some caveats) to experimental realizations.

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