A geometrical representation of the quantum information metric in the gauge/gravity correspondence

A geometrical representation of the quantum information metric in the gauge/gravity correspondence

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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 7gm pravana field theory side, one of which is obtained by perturbing the other.We show that the information metric laguna 3hp dust collector 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.