We prove that any one-dimensional (1D) quantum state with small quantum conditional
mutual information in all certain tripartite splits of the system, which we call a quantum …

A special feature of the ground state in a topologically ordered phase is the existence of
large-scale correlations depending only on the topology of the regions. These correlations …

We describe a modification of the Alicki—Fannes—Winter method which allows to prove
uniform continuity on the set of quantum states with bounded energy of any locally almost …

We study the continuity of an abstract generalization of the maximum-entropy inference—a
maximizer. It is defined as a right-inverse of a linear map restricted to a convex body which …

We 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 …

We study the continuity of the maximum-entropy inference map for two observables in finite
dimensions. We prove that the continuity is equivalent to the strong continuity of the set …