We develop a rigorous connection between statistical properties of an interference pattern and the coherence properties of the underlying quantum state. With explicit examples, we demonstrate that even for inaccurate reconstructions of interference patterns properly defined statistical moments permit a reliable characterization of quantum coherence.
@article{arxiv.1409.1814,
title = {Contrast in Multipath Interference and Quantum Coherence},
author = {Kai von Prillwitz and Łukasz Rudnicki and Florian Mintert},
journal= {arXiv preprint arXiv:1409.1814},
year = {2015}
}