We suggest a hybrid plasmonic device consisting of a bimodal metallic
nanoantenna coupled to an incoherently pumped quantum emitter. This hybrid
device emits light into the two modes entangled in the number of photons. The
process is a prime example where losses are turned from a nuisance into
something beneficial, since, even though counterintuitively, the entanglement
is enabled by strong incoherent processes, i.e. dominant scattering and
absorption rates of the nanoantenna. Both, the high emission rate and the
degree of entanglement of the emitted light are insensitive with respect to
imperfections in the nanoantenna geometry, rendering the scheme feasible for an
implementation