Abstract
Local unitary invariance and the notion of negativity fonts are used as the principal tools to construct four-qubit invariants of degree 8, 12, and 24. A degree-8 polynomial invariant that is nonzero on pure four-qubit states with four-body quantum correlations and zero on all other states is identified. Classification of four-qubit states into seven major classes, using criteria based on the nature of correlations, is discussed.
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