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

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 3 Piece Table Set 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 HERBATINT 4D back reaction to the volume of a codimension-2 surface on the gravity side if the unperturbed field theory possesses the Poincare symmetry.

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