Complex quantum networks as structured environments: engineering and probing
Johannes Nokkala, Fernando Galve, Roberta Zambrini, Sabrina Maniscalco, and Jyrki Piilo

TL;DR
This paper demonstrates how bosonic quantum networks can be engineered and probed using a quantum device to accurately detect spectral densities and reconstruct network structures, enabling advanced control of quantum environments.
Contribution
It introduces methods to engineer spectral densities and reconstruct complex network topologies using a single quantum probe, advancing quantum environment control.
Findings
Spectral density can be accurately detected for various network configurations.
Network structure can be reconstructed with a single quantum probe.
Examples demonstrate probing of complex network topologies.
Abstract
We consider structured environments modeled by bosonic quantum networks and investigate the probing of their spectral density, structure, and topology. We demonstrate how to engineer a desired spectral density by changing the network structure. Our results show that the spectral density can be very accurately detected via a locally immersed quantum probe for virtually any network configuration. Moreover, we show how the entire network structure can be reconstructed by using a single quantum probe. We illustrate our findings presenting examples of spectral densities and topology probing for networks of genuine complexity.
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