Almost surely convergence of the quantum entropy of random graph states and the area law

Zhi Yin, Liang Zhao

Published 2024-01-11Version 1

In [1], Collins et al. showed that the quantum entropy of random graph states satisfies the so-called area law as the local dimension tends to be large. In this paper, we continue to study the fluctuation of the convergence and thus prove the area law holds almost surely.