  We experimentally demonstrate amplitude and phase modulation of a time-energy
entangled two-photon wave function. The entangled photons are produced by
spontaneous parametric down-conversion, spectrally dispersed in an prism
compressor, modulated in amplitude and/or phase, and detected in coincidence by
sum-frequency generation. First, we present a Fourier optical analysis of the
optical setup yielding an analytic expression for the resulting field
distribution at the exit plane of the shaping apparatus. We then introduce
amplitude and/or phase shaping and present results which can only be obtained
through a combination of the two. Specifically, we use a shaper-based
interferometer to measure the two-photon interference of an almost
bandwidth-limited two-photon wave function.
