  We define a new information theoretic quantity called odd entanglement
entropy (OEE) which enables us to compute the entanglement wedge cross section
in holographic CFTs. The entanglement wedge cross section has been introduced
as a minimal cross section of the entanglement wedge, a natural generalization
of the Ryu-Takayanagi surface. By using the replica trick, we explicitly
compute the OEE for two-dimensional holographic CFT (AdS${}_3$ and planar BTZ
blackhole) and see agreement with the entanglement wedge cross section. We
conjecture this relation will hold in general dimensions.
