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.
@article{arxiv.1612.05470,
title = {Holographic quantum imaging: reconstructing spatial properties via two-particle interference},
author = {Nils Trautmann and Gergely Ferenczi and Sarah Croke and Stephen M. Barnett},
journal= {arXiv preprint arXiv:1612.05470},
year = {2017}
}
Comments
10 pages, 3 figures. Submitted to Journal of Optics