The ability to completely characterize the state of a quantum system is an essential element for the emerging quantum technologies. Here, we present a compressed-sensing inspired method to ascertain any rank-deficient qudit state, which we experimentally encode in photonic orbital angular momentum. We efficiently reconstruct these qudit states from a few scans with an intensified CCD camera. Since it requires only a few intensity measurements, our technique would provide an easy and accurate way to identify quantum sources, channels, and systems.
@article{arxiv.1812.04127,
title = {Compressed sensing of twisted photons},
author = {F. Bouchard and D. Koutny and F. Hufnagel and Z. Hradil and J. Rehacek and Y. S. Teo and D. Ahn and H. Jeong and L. L. Sanchez-Soto and G. Leuchs and E. Karimi},
journal= {arXiv preprint arXiv:1812.04127},
year = {2019}
}