Generation of multiphoton Fock states by multiplexing heralded photon sources

We propose a scheme based on the multiplexing of heralded multiphoton sources for the generation of multiphoton Fock states. We theoretically analyze the performance of multiplexed multiphoton sources based on output-extended incomplete binary-tree multiplexers. We show that this system can be used to generate multiphoton states with considerably higher multiphoton probabilities than those that can be achieved with a single heralded multiphoton source. For multiplexed two-photon sources, we present detailed results on the optimization of the mean number of photon pairs generated in the heralded sources and the number of multiplexed units, which are relevant for the experimental realization.