Information geometry encoded in bulk geometry
arXiv:2002.11365 · doi:10.1007/JHEP06(2020)107
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.
arXiv comment19 pages, 1 figure, published version
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