Аннотация: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 andthermodynamic equilibrium (mixed) initial states. The work can be considered as a first steptowards an application of quantum computers to solving problems of magnetic resonance. Thisarticle is dedicated to Prof. Klaus Möbius and Prof. Kev Salikhov on the occasion of their 85thbirthdays.