The first proposal for quantum supremacy—boson sampling—was developed in 2011 by Scott Aaronson and Alex Arkhipov. The proposal showed that a near term quantum device could outperform a classical computer in a well-defined sampling task. However, such an experiment had no practical use. This paper proposes for the first time a practical application of a sampling algorithm in the context of molecular chemistry, more specifically for the computation of molecular vibronic spectra.