Bell's theorem -- one of the most important results of the foundations of quantum theory and philosophy of science -- states that quantum theory is inconsistent with physical models that obey the local causality hypothesis. Originally, nonlocal aspects of quantum theory were investigated in the seminal scenario proposed in 1935 by Einstein, Podolski, and Rosen, and in direct generalizations of the same scenario, in which a composite system is prepared in a given state and each of its components is sent to a given party to be measured. Recently, though, investigation on nonlocality began to consider more sophisticated experiments that involve more composite systems independently prepared and sent to different parties, establishing, thus, a quantum network.Despite being simple prototypes of a future quantum internet, these novel scenarios give us new perspectives on Bell's theorem and the theory of nonlocality, leading to new conceptual and practical challenges. In this project, we will investigate simple quantum networks with the main goal of identifying nonlocal quantum correlations, that do not admit classical description compatible with the network. Specific goals are: (i) to obtain new Bell inequalities that witness nonclassicality in network scenarios, and (ii) to evaluate how numerical methods, e.g., nonconvex optimization, can be useful for certification of quantum advantage in several network scenarios.
News published in Agência FAPESP Newsletter about the scholarship: