Multipartite entanglement criterion from uncertainty relations

Gillet, J. ; Bastin, T. ; Agarwal, G. S. (2008) Multipartite entanglement criterion from uncertainty relations Physical Review A, 78 (5). 052317_1-052317_5. ISSN 1050-2947

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We formulate an entanglement criterion using Peres-Horodecki positive partial transpose operations combined with the Schrodinger-Robertson uncertainty relation. We show that any pure entangled bipartite and tripartite state can be detected by experimentally measuring mean values and variances of specific observables. Those observables must satisfy a specific condition in order to be used, and we show their general form in the 2×2 (two qubits) dimension case. The criterion is applied on a variety of physical systems including bipartite and multipartite mixed states and reveals itself to be stronger than the Bell inequalities and other criteria. The criterion also work on continuous variable cat states and angular momentum states of the radiation field.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:11866
Deposited On:13 Nov 2010 13:44
Last Modified:10 May 2011 09:51

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