Bouchard, FrédéricKoutný, DominikHufnagel, FelixHradil, ZdenekRehácek, JaroslavYong-Siah, TeoAhn, DaekunJeong, HyunseokSánchez Soto, Luis LorenzoLeuchs, GerdKarimi, Ebrahim2023-06-172023-06-172019-06-241094-408710.1364/OE.27.017426https://hdl.handle.net/20.500.14352/13625© 2019 Optical Society of America. European Union’s Horizon 2020 Research and Innovation Programme (766970); Canada Research Chairs; Ontario’s Early Researcher Award; BK21 Plus Program (21A20131111123); National Research Foundation of Korea (2010-0018295); Korea Institute of Science and Technology Institutional Program (2E27800-18-P043); Ministerio de Economía y Competitividad (FIS2015-67963-P); Grant Agency of the Czech Republic (18-04291S); Internal Grant Agency of the Faculty of Sciences of Palacký University (PrF 2018-003)The ability to completely characterize the state of a 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 only requires a small number of intensity measurements, our technique provides an easy and accurate way to identify quantum sources, channels, and systems. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttp://dx.doi.org/10.1364/OE.27.017426https://www.osapublishing.orgopen access535QuantumPhaseÓptica (Física)2209.19 Óptica Física