  We study a geometrical representation of the quantum information metric in
the gauge/gravity correspondence. We consider the quantum information metric
that measures the distance between the ground states of two theories on the
field theory side, one of which is obtained by perturbing the other. We show
that the information metric is represented by a back reaction to the volume of
a codimension-2 surface on the gravity side if the unperturbed field theory
possesses the Poincare symmetry.
