Characterizing multiparticle correlations with exponential families

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Correlations between particles are ubiquitous in nature and the investigation of them is an important task in different fields of physics, ranging from quantum information processing to condensed matter physics and classical complex systems. One possible approach uses the notion of interaction structures to classify correlations: Given an N-particle quantum state one can ask whether it is a thermal state of a Hamiltonian with k-particle interactions only (k