Holographic quantum entanglement negativity
Pankaj ChaturvediDepartment of Physics, Indian Institute of Technology, Kanpur, 208016, IndiaVinay MalvimatDepartment of Physics, Indian Institute of Technology, Kanpur, 208016, IndiaGautam SenguptaDepartment of Physics, Indian Institute of Technology, Kanpur, 208016, India
2018en
ABI
Abstract
A bstract We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in (1 + 1)-dimensional conformal field theories in the AdS 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 AdS 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 AdS d +1 /CF T d scenario.
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