Entanglement conditions for tripartite systems via indeterminacy relations

Abstract

Based on the S-R indeterminacy relations in conjugation with the partial transposition, we derive a class of inequalities for detecting entanglement in several tripartite systems, including bosonic, SU(2), and SU(1,1) systems. These inequalities are in general stronger than those based on the usual Heisenberg relations for detecting entanglement. We also discuss the reduction from SU(2) and SU(1,1) to bosonic systems and the generalization to multipartite case.

6 pages

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Cited by in corpus (2)

• Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
• Multipartite Entanglement Criterion from Uncertainty Relations