Golden-Thompson via pinching inequality

Abstract

For two hermitian matrices $A$ and $B$, Golden-Thompson inequality \cite{golden1965lower, thompson1965inequality} states that $$\mathrm{tr}\left[\exp (A+B)\right]\le \mathrm{tr}\left[\exp (A)\exp (B)\right].$$ We elaborate here the proof from Sutter et al. (2017).

References in corpus (1)

• The Golden-Thompson inequality --- historical aspects and random matrix applications