  Quantum measurement is a class of quantum channels that sends quantum states
to classical states. We set up resource theories of quantum coherence and
quantum entanglement for quantum measurements and find relations between them.
For this, we conceive a relative entropy type quantity to account for the
quantum resources of quantum measurements. The quantum coherence of a quantum
measurement can be converted into the entanglement in a bipartite quantum
measurement through coherence-non generating transformations. Conversely, a
quantum entanglement monotone of quantum measurements induces a quantum
coherence monotone of quantum measurement. Our results confirm that the
understanding on the link between quantum coherence and quantum entanglement is
valid even for quantum measurements which do not generate any quantum resource.
