  We present experimental results on a method to perform polarimetry on
ensembles of single photons. Our setup is based on a measurement method known
to be optimal for estimating the state of two level systems. The setup has no
moving parts and is sensitive to weak sources (emitting single photons) of
light as it relies on photon counting and has potential applications in both
classical polarization measurements and quantum communication scenarios. In our
implementation, we are able to reconstruct the Stokes parameters of pure
polarization states with an average fidelity of 99.9%.
