Abstract
We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in (1 + 1)-dimensional conformal field theories in the AdS3/CF T2 framework. Our conjecture exactly reproduces the replica technique results in the large central charge limit, for both the pure state described by the CF T1+1 vacuum dual to bulk the pure AdS3 geometry and the finite temperature mixed state dual to a Euclidean BTZ black hole respectively. The holographic entanglement negativity characterizes the distillable 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 AdSd+1/CF Td scenario.
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Chaturvedi, P., Malvimat, V. & Sengupta, G. Holographic quantum entanglement negativity. J. High Energ. Phys. 2018, 172 (2018). https://doi.org/10.1007/JHEP05(2018)172
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DOI: https://doi.org/10.1007/JHEP05(2018)172