The study of quantum dimer models is of great significance as dimers are considered as great candidates to model the physics of resonating valence bond (RVB) states in lattice spin systems, as well quantum spin liquids. Inelastic neutron scattering (INS) is a standard technique to probe the 2-spin correlation functions in such magnetic systems. INS can characterize molecular eigenstates on atomic scales, and thus give us more insight into the dynamics of such systems. We have previously worked on studying the dynamics of isolated dimers through computing the magnetic neutron cross-section in IBM's qubit-based hardware. We now present our work on extending these studies to larger systems, whether that be in the form of a longer spin chain or in the form of a product state of dimers. In the case of the product state of dimers, we also study the effect of the proximity of the qubits we choose on the results obtained. Cross-talk between adjacent qubits has been observed when taking measurements and their implications on scaling up to useful system sizes will be discussed.