Weis, StephanStephanWeisKnauf, AndreasAndreasKnaufAy, NihatNihatAyZhao, Ming-JingMing-JingZhao2022-12-012022-12-012014-06-03Open Systems & Information Dynamics 22 (1): 1550006 (2015)http://hdl.handle.net/11420/14229We study many-party correlations quantified in terms of the Umegaki relative entropy (divergence) from a Gibbs family known as a hierarchical model. We derive these quantities from the maximum-entropy principle which was used earlier to define the closely related irreducible correlation. We point out differences between quantum states and probability vectors which exist in hierarchical models, in the divergence from a hierarchical model and in local maximizers of this divergence. The differences are, respectively, missing factorization, discontinuity and reduction of uncertainty. We discuss global maximizers of the mutual information of separable qubit states.en1573-132420141Springer Science + Business Media B.VMathematical PhysicsQuantum Physics62H2062F3094A1781P1681P45MathematikJournal Article10.1142/S12301612155000671406.0833v3Other