Mutual information-energy inequality for thermal states of a bipartite quantum system

TL;DR

This paper establishes an upper bound on quantum mutual information in thermal bipartite systems, linking it to interaction energy and partition function, and illustrates the bound with a two-spin system example.

Contribution

It introduces a novel upper bound for quantum mutual information in thermal states, connecting it to physical quantities like interaction energy and partition function.

Findings

Derived an explicit upper bound for mutual information.

Applied the bound to a two-spin XY-Heisenberg system.

Showed the relation between mutual information and physical parameters.

Abstract

In this work, we consider an upper bound for the quantum mutual information in thermal states of a bipartite quantum system. This bound is related with the interaction energy and logarithm of the partition function of the system. We demonstrate the connection between this upper bound and the value of the mutual information for the bipartite system realized by two spin-1/2 particles in the external magnetic field with the XY-Heisenberg interaction.