Experimental demonstration of the violations of Mermin’s and Svetlichny’s inequalities for W and GHZ states

Violation of Mermin’s and Svetlichny’s inequalities can rule out the predictions of local hidden variable theory and can confirm the existence of true nonlocal correlation for n -particle pure quantum systems ( n ≥ 3 ). Here we demonstrate the experimental violation of the above inequalities for W and GHZ state. We use IBM’s five-qubit quantum computer for experimental implementation of these states and illustration of inequalities’ violations. Our results clearly show the violations of both Mermin’s and Svetlichny’s inequalities for W and GHZ states, respectively. Being a superconducting qubit-based quantum computer, the platform used here opens up the opportunity to explore multipartite inequalities which is beyond the reach of other existing technologies.