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arXiv · 2002.11365

Information geometry encoded in bulk geometry

Asato Tsuchiya·Kazushi Yamashiro
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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.

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Asato Tsuchiya, Kazushi Yamashiro. 2020-06-26. Information geometry encoded in bulk geometry. https://doi.org/10.1007/jhep06(2020)107

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