Eleuch is a professor of physics and a leader of the quantum information, quantum simulation, and quantum processing research group at the University of Sharjah, UAE. He received his PhD in quantum physics in 1998, from Kastler Brossel Laboratory at the École Normale Supérieure and the University Pierre and Marie Curie (Paris), France. He has visited and worked at several prestigious institutions such as Texas A&M University, Max Planck Institute, Princeton University, McGill University, the University of Auckland, and the University of Montreal. Eleuch has authored more than 300 papers and holds 19 US patents. He has received fellowships from the Fulbright Foundation, the Max Planck Society, and the International Center for Theoretical Physics. He is a Fellow of the African Academy of Sciences, a member of Sigma Xi, the Scientific Research Honor Society (US), and the Mohammed Bin Rashid Academy of Scientists. He has been ranked among the top 2% of scientists, according to Stanford University's rankings, both in career-long and annual categorises, since 2019. In 2024, he received the Abdul Hameed Shoman Prize for Arab Researchers in Science.