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arXiv · 1607.06519

Holographic Computations of the Quantum Information Metric

Andrea Trivella
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Abstract

In this note we show how the Quantum Information Metric can be computed holographically using a perturbative approach. In particular when the deformation of the conformal field theory state is induced by a scalar operator the corresponding bulk configuration reduces to a scalar field perturbatively probing the unperturbed background. We study two concrete examples: a CFT ground state deformed by a primary operator and thermofield double state in $d=2$ deformed by a marginal operator. Finally, we generalize the bulk construction to the case of a multi dimensional parameter space and show that the Quantum Information Metric coincides with the metric of the non-linear sigma model for the corresponding scalar fields.

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Andrea Trivella. 2017-09-15. Holographic Computations of the Quantum Information Metric. https://doi.org/10.1088/1361-6382%2Faa69a6

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