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Positivity of the density operator reflects itself in terms of sequences ofinequalities on observable moments. Uncertainty relations for non-commutingobservables form a subset of these inequalities. In addition, criterion ofpositivity under partial transposition (PPT) imposes distinct bounds onmoments, violations of which signal entanglement. We present bounds on somenovel sets of composite moments, consequent to positive partial transpositionof the density operator and report their violation by entangled multiqubitstates. In particular, we derive separability bounds on a multiqubit momentmatrix (based on PPT constraints on bipartite divisions of the density matrix)and show that three qubit pure states with non-zero tangle violate these PPTmoment constraints. Further, we recover necessary and sufficient condition ofseparability in a multiqubit Werner state through PPT bounds on moments.

Separability bounds on multiqubit moments due to positivity under partial transpose