  We report a first demonstration for the application of quantum computing to
heavy quarkonium spectroscopy study. Based on a Cornell-potential model for the
heavy quark and antiquark system, we show how this Hamiltonian problem can be
formulated and solved with the VQE approach on the IBM cloud quantum computing
platform. Errors due to a global depolarizing noise channel are corrected with
a zero-noise extrapolation method, resulting in good agreement with the
expected value. We also extend the calculation to excited states on a noiseless
quantum simulator by orthogonalization with respect to the ground state.
