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Local unitary invariance and the notion of negativity fonts are used as theprinciple tools to construct four qubit invariants of degree 8, 12, and 24. Adegree 8 polynomial invariant that is non-zero on pure four qubit states withfour-body correlations and zero on all other states, is identified.Classification of four qubit states into seven major classes, using criterionbased on the nature of correlations, is discussed.

Unitary Invariants and Classification of Four-Qubit States via Negativity Fonts