New multipartite entanglement measure and its holographic dual
Abhijit Gadde, Vineeth Krishna, Trakshu Sharma
Abstract
In this paper we define a natural generalization of the von Neumann entropy to multiple parties that is symmetric with respect to all the parties. We call this measure multi-entropy. We show that for conformal field theories with holographic duals, the multi-entropy is computed by the area of an appropriate ``soap-film'' anchored on the boundary. We conjecture the quantum version of this prescription that takes into account the subleading corrections in ${G}_{N}$.
Topics & Concepts
Quantum entanglementMultipartiteConjectureEntropy (arrow of time)HolographyDual polyhedronVon Neumann entropyMeasure (data warehouse)PhysicsGeneralized relative entropyTheoretical physicsQuantum mechanicsQuantumMathematicsPure mathematicsComputer scienceQuantum discordDatabaseBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories