PoS - Proceedings of Science
Volume 292 - Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2016) - Recent Developments in Strings and Gravity
A holographic dual to Fisher information and its relation with bulk entanglement
D. Sarkar*, S. Banerjee and J. Erdmenger
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Pre-published on: October 04, 2017
Published on: October 05, 2017
In the context of relating AdS/CFT to quantum information theory, we propose a holographic dual of Fisher information metric for mixed states in the boundary field theory. This amounts to a holographic measure for the distance between two mixed quantum states. For a spherical subregion in the boundary we show that this is related to a particularly regularized volume enclosed by the Ryu-Takayanagi surface. We further argue that the quantum correction to the proposed Fisher information metric is related to the quantum correction to the boundary entanglement entropy. We discuss consequences of this connection.
DOI: https://doi.org/10.22323/1.292.0092
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