Dominik was born in the Czech Republic. He did his Master's at the Czech Technical University in Prague, with his thesis focused on the implications of the delayed choice quantum eraser experiments on interpretations of quantum physics. He continued his Ph.D. at the University of Nottingham, UK, and the University of Vienna, Austria, where he developed several new formulae for the optimal estimation of Gaussian quantum states. He spent his first postdoc at the University of California, Santa Cruz, where he developed the concept of observational entropy. He develops this concept to this day, as an independent researcher at the Institute for Basic Science in Daejeon, South Korea.