  We experimentally demonstrate the reconstruction of a photon number
conditioned state without using a photon number discriminating detector. By
using only phase randomized homodyne measurements, we reconstruct up to the
three photon subtracted squeezed vacuum state. The reconstructed Wigner
functions of these states show regions of pronounced negativity, signifying the
non-classical nature of the reconstructed states. The techniques presented
allow for complete characterization of the role of a conditional measurement on
an ensemble of states, and might prove useful in systems where photon counting
still proves technically challenging.
