  We explore perturbative corrections to quantum information geometry. In
particular, we study a Bures information metric naturally associated with the
correlation functions of a conformal field theory. We compute the metric of
holographic four-point functions and include corrections generated by tree
Witten diagrams in the bulk. In this setting, we translate properties of
correlators into the language of information geometry. Cross terms in the
information metric encode non-identity operators in the OPE. We find that the
information metric is asymptotically AdS. Finally, we discuss an information
metric for transition amplitudes.
