Quantum mechanics

Theoretical physics

Pure mathematics

Interpretation (philosophy)

Holography

Theoretical computer science

Bipartite graph

Duality (order theory)

Computer science

Statistical physics

Squashed entanglement

Multipartite entanglement

Physics

Quantum entanglement

Graph

Mathematics

Artificial intelligence

Geometry

Quantum

Heuristic

Conformal field theory

Conformal map

Programming language

Nature Physics

We study properties of the minimal cross section of entanglement wedge which connects two disconnected subsystems in holography. In particular we focus on various inequalities which are satisfied by this quantity. They suggest that it is a holographic counterpart of the quantity called entanglement of purification, which measures a bipartite correlation in a given mixed state. We give a heuristic argument which supports this identification based on a tensor network interpretation of holography. This implies that the entanglement of purification satisfies the strong superadditivity for holographic conformal field theories.

Entanglement of purification through holographic duality