We have studied a cascaded nonlinear interferometer having degenerate optic
al parametric amplifiers, one for each arm. The nonlinear interferometer ge
nerates supposed squeezed state. The photon statistics of tile states of th
e output ports of tile interferometer are analyzed in tcr ms of the photon
number uncertainty and the power of the mean, as a function of the gain of
the crystals and the amplified input source intensity. If the nonlinear cas
caded interferometer is used, it is possible to reduce the photon number un
certainty enormously.