In this talk, I will explore applications of quantum computing to hadron physics, and present the results of a related research project. Quantum computing is uniquely suited to address some of the greatest modern challenges in nuclear physics, such as the formation of exotic quark bound states. Due to the charm quark's high mass scale, multi-charm systems are nearly nonrelativistic, simplifying their dynamics, and opening a window into the quark structure of hadrons. I will present results from a recent project in which the 1S and 2S energy levels of charmonium were measured using a quantum-classical hybrid algorithm. The talk will end with a discussion of my plans to use quantum computing to investigate properties of more complex multi-charm systems.