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Based on the S-R indeterminacy relations in conjugation with the partialtransposition, we derive a class of inequalities for detecting entanglement inseveral tripartite systems, including bosonic, SU(2), and SU(1,1) systems.These inequalities are in general stronger than those based on the usualHeisenberg relations for detecting entanglement. We also discuss the reductionfrom SU(2) and SU(1,1) to bosonic systems and the generalization tomultipartite case.

Entanglement conditions for tripartite systems via indeterminacy relations