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Information geometry encoded in bulk geometry

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We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a… Click to show full abstract

We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained by perturbing the CFT. We find a universal formula that represents the quantum information metric in terms of back reaction to the AdS bulk geometry.

Keywords: information geometry; encoded bulk; geometry; bulk geometry; geometry encoded; information

Journal Title: Journal of High Energy Physics
Year Published: 2020

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