Detection of the genuine non-locality of any three-qubit state

It is known that the violation of Svetlichny inequality by any three-qubit state described density operator $\rho_{ABC}$ witness genuine non-locality $\rho_{ABC}$. But it not an easy task as problem showing reduces to a complicated optimization problem. Thus, detection may be considered challenging task. Therefore, we have taken different approach and derived lower upper bound expectation value with respect study this The expression obtained bounds depends on whether reduced two-qubit entangled detected CHSH or not. expressed in terms following quantities such (i) eigenvalues product given composite system single qubit maximally mixed (ii) state. We then achieve whose detect A few examples are cited support our results. Lastly, discuss its possible implementation laboratory.