4.4 Article

Holographic quantum entanglement negativity

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP05(2018)172

Keywords

AdS-CFT Correspondence; Gauge-gravity correspondence

Funding

  1. Council of Scientific and Industrial Research (CSIR), India [09/092(0846)/2012-EMR-I]

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We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in (1 + 1)-dimensional conformal field theories in the AdS(3)/CFT2 framework. Our conjecture exactly reproduces the replica technique results in the large central charge limit, for both the pure state described by the CFT1+1 vacuum dual to bulk the pure AdS(3) geometry and the finite temperature mixed state dual to a Euclidean BTZ black hole respectively. The holographic entanglement negativity characterizes the distill able entanglement and reduces to a specific sum of holographic mutual informations. We briefly allude to a possible higher dimensional generalization of our conjecture in a generic AdS(d+1)/CFTD scenario.

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