Locally distinguishing genuinely nonlocal sets with entanglement resource

A set of orthogonal product states is deemed genuinely nonlocal if they remain locally indistinguishable under any bipartition.In this paper,we first construct a genuinely nonlocal product basis BⅠ（5,3） in C5 ■ C5 ■ C5 using a set of nonlocal product states in C3 ■ C4.Then,we obtain a genuinely nonlocal product basis BⅡ（5,3） by replacing certain states in BⅠ（5,3） with some superposition states.We achieve perfect discrimination of the constructed genuinely nonlocal product basis,separately employing two EPR states and one GHZ state.Our protocol is more efficient than quantum teleportation.