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Using the quantum interference of photon pairs in N-stage nonlinearinterferometers (NLI), the contour of joint spectral function can be modifiedinto islands pattern. We perform two series of experiments. One is that all thenonlinear fibers in pulse pumped NLI are identical; the other is that thelengths of N pieces nonlinear fibers are different. We not only demonstrate howthe pattern of spectral function changes with the stage number N, but alsocharacterize how the relative intensity of island peaks varies with N. Theresults, well agree with theoretical predictions in Ref. [1], reveal that theNLI with N pieces nonlinear fibers following binomial distribution can providea better active filtering function. Our investigation shows that the activefiltering effect of multi-stage NLI is a useful tool for efficientlyengineering the factorable two-photon state - a desirable resource for quantuminformation processing.

Engineering the spectral profile of photon pairs by using multi-stage nonlinear interferometers