  Dymanics of spin dimers in multiple quantum NMR experiment is studied on the
5-qubit superconducting quantum processor of IBM {Quantum Experience} for the
both {pure} ground and thermodynamic equilibrium (mixed) initial states. The
work can be considered as a first step towards an application of quantum
computers to solving problems of magnetic resonance. This article is dedicated
to Prof. Klaus M\"obius and Prof. Kev Salikhov on the occasion of their 85th
birthdays.
