Holographic Quantum Entanglement Negativity

Pankaj Chaturvedi; Vinay Malvimat; Gautam Sengupta

doi:10.1007/JHEP05(2018)172

paper

Holographic Quantum Entanglement Negativity

arXiv:1609.06609 · doi:10.1007/JHEP05(2018)172

Abstract

We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in $(1 + 1)$ -dimensional conformal field theories in the $A d S_{3} / C F T_{2}$ framework. Our conjecture exactly reproduces the replica technique results in the large central charge limit, for both the pure state described by the $C F T_{1 + 1}$ vacuum dual to bulk the pure $A d S_{3}$ 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 $A d S_{d + 1} / C F T_{d}$ scenario.

16 pages and 1 figure, published in JHEP. This is a shorter version of arXiv:1602.01147 detailing the $A d S_{3} / C F T_{2}$ example

Holographic Quantum Entanglement Negativity

Abstract

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