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We report a nuclear magnetic resonance experiment, which simulates thequantum transverse Ising spin system in a triangular configuration and furthershow that the monogamy of quantum correlations can be used to distinguishbetween the frustrated and non-frustrated regimes in the ground state of thissystem. Adiabatic state preparation methods are used to prepare the groundstates of the spin system. We employ two different multipartite quantumcorrelation measures to analyze the experimental ground state of the system inboth the frustrated and non-frustrated regimes. In particular, we usemultipartite quantum correlation measures generated by monogamy considerationsof negativity, a bipartite entanglement measure, and that of quantum discord,an information-theoretic quantum correlation measure. As expected fromtheoretical predictions, the experimental data confirm that the non-frustratedregime shows higher multipartite quantum correlations compared to thefrustrated one.

Monogamy of quantum correlations reveals frustration in a quantum Ising spin system: Experimental demonstration