Quantum Zeno effect on genuine tripartite nonlocality and entanglement in quantum dissipative system

As a precious global resource in quantum information, genuine tripartite nonlocality (GTN) can be quantified by violating Svetlichny inequality. However, there is still no analytical expression for the general three-qubit states due to the difficulty of theoretical calculations. In this paper, we numerically achieve highly accurate quantization of GTN for GHZ-class states, and this method is also applicable to any three-qubit states. As an example, we study the dynamics of GTN and genuine tripartite entanglement (GTE) for the W state. Moreover, the complementarity of GTN is verified by examining the nonlocality between the tripartite and the bipartite states. Finally, we also find a useful strategy to protect the correlation of GTN and GTE under decoherence by utilizing the Zeno effect.