Synthesis of arbitrary Fock states via conditional measurement on beam splitters
Bruno M. Escher, Ardiley Torres Avelar, B. Baseia · Physical Review A · 2005
In a previous work [Opt. Commun. 138, 71 (1997)] a scheme was proposed to create traveling fields in the Fock state $\ensuremath{\mid}{2}^{J}⟩$. Here we show how to extend this result to arbitrary Fock states. The procedure combines one-photon states impinging on a sequence of distinct beam splitters, each one associated with a (zero detection) single-photon photodetector, with optimization of the success probability to get the desired state. Advantages and disadvantages of this scheme are discussed.