  We study the multipartite quantum correlation (MQC) in a quantum transverse
Ising system with the tunable triangular configuration, where it is found that
the MQC itself cannot always discriminate the frustrated and nonfrustrated
regimes of the ground state but the MQC combined with our newly defined MQC
susceptibility can complete the task. Meanwhile, we reveal that the spatially
anisotropic coupling is an effective and feasible tool for the MQC modulation
in the ground state of frustrated Ising spins. Furthermore, we analyze the
multipartite correlation properties in the thermal state, where it is shown
that, unlike the thermally fragile MQC in the nonfrustrated regimes, there is a
three-way trade-off relation among high MQC, strong thermal robustness, and the
spatially anisotropic interactions in the frustrated spins. In addition, an
experimental scheme for the MQC modulation via the anisotropic coupling is
discussed in the system of cold atoms trapped in an optical lattice.
