  We propose to use nanoantennas coupled to incoherently pumped quantum dots
for ultra-bright single photon emission. Besides fully quantum calculations, we
analyze an analytical expression for the emitted photon rate. From these
analytical considerations it turns out that the Purcell factor and the pumping
rate are the main quantities of interest. We also disclose a trade-off between
the emitted photon rate and the nonclassical nature of the emitted light. This
trade-off has to be considered while designing suitable nanoantennas, which we
also discuss in depth.
