Entanglement conditions for tripartite systems via indeterminacy relations

Based on the Schrodinger-Robertson 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 b...

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Bibliographic Details
Published in:Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2008-01, Vol.41 (1), p.015505-015505 (5)
Main Authors: Song, Lijun, Wang, Xiaoguang, Yan, Dong, Pu, Zhong-Sheng
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase)
Physics
Quantum mechanics
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Summary:Based on the Schrodinger-Robertson 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 a multipartite case.
ISSN:0953-4075
1361-6455
DOI:10.1088/0953-4075/41/1/015505