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arXiv · 1507.07555

Gravity Dual of Quantum Information Metric

Masamichi Miyaji·Tokiro Numasawa·Noburo Shiba·Tadashi Takayanagi·Kento Watanabe
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Abstract

We study a quantum information metric (or fidelity susceptibility) in conformal field theories with respect to a small perturbation by a primary operator. We argue that its gravity dual is approximately given by a volume of maximal time slice in an AdS spacetime when the perturbation is exactly marginal. We confirm our claim in several examples.

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Masamichi Miyaji, Tokiro Numasawa, Noburo Shiba, Tadashi Takayanagi, Kento Watanabe. 2015-07-29. Gravity Dual of Quantum Information Metric. https://doi.org/10.1103/physrevlett.115.261602

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