Quantum relative entropy
= Quantum relative entropy
{title2=$D(\rho\|\sigma)$}
{wiki}
= Umegaki relative entropy
{c}
{synonym}
The quantum relative entropy is $D(\rho\|\sigma)=\operatorname{Tr}[\rho(\log\rho-\log\sigma)]$ when the support of $\rho$ lies in that of $\sigma$.