  Two particle interference phenomena, such as the Hong-Ou-Mandel effect, are a
direct manifestation of the nature of the symmetry properties of
indistinguishable particles as described by quantum mechanics. The
Hong-Ou-Mandel effect has recently been applied as a tool for pure state
tomography of a single photon. In this article, we generalise the method to
extract additional information for a pure state and extend this to the full
tomography of mixed states as well. The formalism is kept general enough to
apply to both boson and fermion based interferometry. Our theoretical
discussion is accompanied by two proposals of interferometric setups that allow
the measurement of a tomographically complete set of observables for single
photon quantum states.
