Area law for fixed points of rapidly mixing dissipative quantum systems

TL;DR

This paper proves an area law with a logarithmic correction for the mutual information in fixed points of rapidly mixing local dissipative quantum systems, under certain purity or frustration-free conditions.

Contribution

It establishes a new area law for mutual information in dissipative quantum systems with rapid mixing, considering specific fixed point conditions.

Findings

Proves an area law with a logarithmic correction for mutual information.

Applies to fixed points that are pure or frustration free.

Advances understanding of entanglement structure in dissipative quantum systems.

Abstract

We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either of the following assumptions: the fixed point is pure, or the system is frustration free.