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We consider structured environments modeled by bosonic quantum networks andinvestigate the probing of their spectral density, structure, and topology. Wedemonstrate how to engineer a desired spectral density by changing the networkstructure. Our results show that the spectral density can be very accuratelydetected via a locally immersed quantum probe for virtually any networkconfiguration. Moreover, we show how the entire network structure can bereconstructed by using a single quantum probe. We illustrate our findingspresenting examples of spectral densities and topology probing for networks ofgenuine complexity.

Complex quantum networks as structured environments: engineering and probing