Efficient Numerical Algorithm on Irreducible Multiparty Correlations

We develop a numerical algorithm to calculate the degrees of irreducible multiparty correlations for an arbitrary multipartite quantum state, which is efficient for any quantum state of up to five qubits in my personal computer. We demonstrate the power of the algorithm by the explicit calculations of the degrees of irreducible multiparty correlations in the 4-qubit GHZ state, the Smolin state, and the 5-qubit W state. This development takes a crucial step towards practical applications of irreducible multiparty correlations in real quantum many-body physics.