Holographic quantum entanglement negativity

DOI10.1007/JHEP05(2018)172zbMATH Open1391.81152arXiv1609.06609WikidataQ129761537 ScholiaQ129761537MaRDI QIDQ1651193

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Publication date: 11 July 2018

Published in: (Search for Journal in Brave)

Abstract: We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in $(1+1)$-dimensional conformal field theories in the $Ad{S}_3/CF{T}_2$ framework. Our conjecture exactly reproduces the replica technique results in the large central charge limit, for both the pure state described by the $CF{T}_{1+1}$ vacuum dual to bulk the pure $Ad{S}_3$ 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 $Ad{S}_{d+1}/CF{T}_d$ scenario.

Full work available at URL: https://arxiv.org/abs/1609.06609

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