Bell’s theorem shows that quantum correlations are nonlocal, that is fundamentally nonclassical. It had a profound impact on our understanding of what quantum correlations are or allow for, both for foundational reasons, and for concrete applications in certification of quantum devices and protocols such as randomness generation and cryptography. Often, corresponding experimental demonstrations involve elementary quantum networks, along which several independent quantum states are distributed and measured. It was very recently understood that beyond Bell theorem itself, the correlations emerging from these quantum network structures offered very promising new possibilities in terms of foundational understanding of quantum theory and its applications. LINKS main objective is to take into account quantum network causal structures in order to reinvent the study of quantum nonlocality, from foundations to applications. LINKS will (A) lay the foundations of the study of correlations in network causal structure in order to (B) reveal foundational and applicational consequences of quantum network correlations and (C) enable the implementation of concrete quantum protocols in the lab. LINKS will result in a metamorphosed visibility of the application of quantum theory in the context of quantum networks. It will have a significate impact toward researchers, which could result with a consequent boost in quantum technology and have a concrete impact toward technological companies and start-ups. LINKS will be conducted by a consortium of three researchers: the coordinator, a recognised expert in the very young field of quantum nonlocality in causal network structures, and two internationally recognised experts in the field of nonlocality, certification of quantum devices and the mathematical aspects of quantum information theory. This team will be completed by a 3-year PhD (funded by other means) and a 3-year postdoc (for whom we request the funding).