Abstract
We investigate the application of our recent holographic entanglement negativity conjecture for higher dimensional conformal field theories to specific examples which serve as crucial consistency checks. In this context we compute the holographic entanglement negativity for bipartite pure and finite temperature mixed state configurations in d-dimensional conformal field theories dual to bulk pure AdS_{d+1} geometry and AdS_{d+1}-Schwarzschild black holes respectively. It is observed that the holographic entanglement negativity characterizes the distillable entanglement for the finite temperature mixed states through the elimination of the thermal contributions. Significantly our examples correctly reproduce universal features of the entanglement negativity for corresponding two dimensional conformal field theories, in higher dimensions.
Highlights
The last decade has witnessed remarkable progress in the understanding of entanglement in quantum information theory and has found applications in diverse areas of theoretical physics and other related disciplines from quantum phase transitions to quantum gravity
We demonstrated that our conjecture leads to the correct form for the negativity of a bipartite pure state described by the C F T1+1 vacuum given in Eq (104)
We briefly review the application of our conjecture to compute the holographic entanglement negativity for both a pure state described by the C F T1+1 vacuum which is dual to a bulk pure Ad S3 geometry, and the finite temperature mixed state dual to a bulk Euclidean BTZ black hole
Summary
The last decade has witnessed remarkable progress in the understanding of entanglement in quantum information theory and has found applications in diverse areas of theoretical physics and other related disciplines from quantum phase transitions to quantum gravity. Our holographic conjecture exactly reproduces the the universal part of the corresponding replica technique results for the dual CFT described in [7], in the large central charge limit for the following bipartite pure and mixed state configurations. These involve the pure vacuum state and the finite temperature mixed state configurations dual to bulk pure Ad S3 space-time and the bulk.
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