  We show that the symmetric portion of correlated coherence is always a valid
quantifier of entanglement, and that this property is independent of the
particular choice of coherence measure. This leads to an infinitely large class
of coherence based entanglement monotones, which is always computable for pure
states if the coherence measure is also computable. It is already known that
every entanglement measure can be constructed as a coherence measure. The
results presented here show that the converse is also true. The constructions
that are presented can also be extended to also include more general notions of
nonclassical correlations, leading to quantifiers that are related to quantum
discord.
