  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.
