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Multiple quantum (MQ) NMR is an effective tool for the generation of a large cluster of correlated particles, which, in turn, represent a basis for quantum information processing devices. Studying the available exactly solvable models clarifies many aspects of the quantum information. In this study, we consider two exactly solvable models in the MQ NMR experiment: (i) the isolated system of two spin-1 2 particles (dimers) and (ii) the large system of equivalent spin-1 2 particles in a nanopore.doi:10.1098/rsta.2011.0499 pmid:22946036 fatcat:7d5hnr5gnncdto5bf77vmjbvy4