Characterizing multiparticle correlations with exponential families

粒子之间的关联在自然界中普遍存在，对它们的研究是不同物理领域的重要任务，从量子信息处理到凝聚态物理和经典复杂系统。一种可能的方法是使用相互作用结构的概念来对相关性进行分类：给定一个N粒子量子态，人们可以问它是否是一个只具有k粒子相互作用的哈密顿量的热态（k

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