  We derive dynamics of the entanglement wedge cross section directly from the
two-dimensional holographic CFTs with a local operator quench. This derivation
is based on the reflected entropy, a correlation measure for mixed states. We
further compare these results with the mutual information and ones for RCFTs.
Our results directly suggest the classical correlation also plays an important
role in the subregion/subregion duality even for dynamical setup. Besides a
local operator quench, we study the reflected entropy in a heavy state and
provide improved bulk interpretation. We checked the above results also hold
for the odd entanglement entropy, which is another measure for mixed states
related to the entanglement wedge cross section.
