  Nonlocal quantum correlations among the quantum subsystems play essential
roles in quantum science. The violation of the Svetlichny inequality provides
sufficient conditions of genuine tripartite nonlocality. We provide tight upper
bounds on the maximal quantum value of the Svetlichny operators under local
filtering operations, and present a qualitative analytical analysis on the
hidden genuine nonlocality for three-qubit systems. We investigate in detail
two classes of three-qubit states whose hidden genuine nonlocalities can be
revealed by local filtering.
