Measure of Tripartite Quantum Correlation in Multiqubit Symmetric Pure State

We propose a direct measure of tripartite quantum correlation in an arbitrary symmetric pure state N correlated two-level atoms (qubits). compute the third-order moments collective pseudo-spin operators terms individual atomic assembly and find that all bipartite among cancel out leaving only possible them. observe are made up solely correlations atoms. This helps to extract quantification these correlations. also necessary sufficient condition for presence such multi-atomic systems. conjecture way determining assembly, experimentally.