Article (Scientific journals)
Multipartite entanglement criterion from uncertainty relations
Gillet, Jérémie; Bastin, Thierry; Agarwal, G. S.
2008In Physical Review. A, Atomic, molecular, and optical physics, 78, p. 052317:1-5
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Abstract :
[en] We formulate an entanglement criterion using Peres-Horodecki positive partial transpose operations combined with the Schrödinger-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 x 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.
Disciplines :
Physics
Author, co-author :
Gillet, Jérémie ;  Université de Liège - ULiège > Département de physique > Physique des atomes froids
Bastin, Thierry  ;  Université de Liège - ULiège > Département de physique > Physique des atomes froids
Agarwal, G. S.
Language :
English
Title :
Multipartite entanglement criterion from uncertainty relations
Publication date :
2008
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
ISSN :
1050-2947
eISSN :
1094-1622
Publisher :
American Physical Society, College Park, United States - Maryland
Volume :
78
Pages :
052317:1-5
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 30 November 2009

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