We discuss under which conditions multipartite entanglement in mixed quantum states can be characterized only terms of two-point connected correlation functions, as it is the case for pure states. In turn, latter correlations are defined via a suitable combination (disconnected) one- and functions. contrast to states, satisfied turn out rather severe. However, we were able identify some interes...

This paper considers the open challenge of identifying complete, concise, and explainable quantitative microstructure representations for disordered heterogeneous material systems. Completeness conciseness have been achieved through existing data-driven methods, e.g., deep generative models, which, however, do not provide mathematically latent representations. study investigates composed three-...