  Quantifying entanglement properties of mixed states in quantum field theory
via entanglement of purification and reflected entropy is a new and challenging
subject. In this work, we study both quantities for two spherical subregions
far away from each other in the vacuum of a conformal field theory in any
number of dimensions. Using lattice techniques, we find an elementary proof
that the decay of both, the entanglement of purification and reflected entropy,
is enhanced with respect to the mutual information behaviour by a logarithm of
the distance between the subregions. In the case of the Ising spin chain at
criticality and the related free fermion conformal field theory, we compute
also the overall coefficients numerically for the both quantities of interest.
