Distribution of nonlocality on quantum random circuits

In this work we explore how different types of resources are distributed among the states generated by quantum random circuits. We focus on multipartite nonlocality, but we also analyze quantum correlations by appealing to different entanglement and nonclassicality measures. We analyze the violation of Mermin and Svetlichny inequalities in order to get a glance at the distribution of nonlocality and genuine multipartite nonlocality. Next, we compare universal vs nonuniversal sets of gates, to gain insight into the problem of explaining quantum advantage. By comparing the results obtained with ideal (noiseless) vs noisy intermediate-scale quantum devices, we lay the basis of a certification protocol, which aims to quantify how robust is the resources distribution among the states that a given device can generate. We have implemented our nonlocality-based benchmark on actual quantum processors with different architectures, in order to assess up to which point they are capable of reproducing the ideal results.