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      Holographic Bell Inequality

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          Abstract

          We study the Bell inequality in a holographic model of a casually disconnected Einstein-Podolsky-Rosen (EPR) pair. The CHSH form of Bell inequality are computed using holographic Schwinger-Keldysh(SK) correlators. We show that the manifestation of quantum entanglement in Bell inequality can be reproduced from the classical gravitation theory in the bulk, which lends support to the ER=EPR conjecture.

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          Quantum generalizations of Bell's inequality

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            Bell violation in the sky

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              The holographic dual of a Hawking pair has a wormhole

              In previous work, two of us constructed the holographic dual of a single Einstein-Podolsky-Rosen (EPR) pair in maximally supersymmetric Yang-Mills theory. Here we extend that work in two directions. First, we use a Randall-Sundrum brane to couple the entangled pair to dynamical gravity. Second, we consider the entangled pair in the background of a black hole with the particles on opposite sides of the horizon, turning the EPR pair into a Hawking pair. We give general arguments that ER=EPR should be understood as a duality between two equivalent descriptions of the same physical reality.
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                Author and article information

                Journal
                2016-12-30
                Article
                1612.09513
                36ebd85a-d10d-429b-a592-1dda39f058b2

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                4 pages, 1 figure
                hep-th gr-qc quant-ph

                Quantum physics & Field theory,General relativity & Quantum cosmology,High energy & Particle physics

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