Spatial multipartite entanglement and localization of entanglement

被引:14
作者
Daems, D. [1 ]
Cerf, N. J. [1 ]
机构
[1] Univ Libre Bruxelles, QuIC, Ecole Polytech, B-1050 Brussels, Belgium
来源
PHYSICAL REVIEW A | 2010年 / 82卷 / 03期
关键词
SEPARABILITY CRITERION; NONLINEAR-INTERACTIONS; STATES;
D O I
10.1103/PhysRevA.82.032303
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We present a simple model together with its physical implementation which allows one to generate multipartite entanglement between several spatial modes of the electromagnetic field. It is based on parametric down-conversion with N pairs of symmetrically tilted plane waves serving as a pump. The characteristics of this spatial entanglement are investigated in the cases of zero as well as nonzero phase mismatch. Furthermore, the phenomenon of entanglement localization in just two spatial modes is studied in detail and shown to result in an enhancement of the entanglement by a factor root N.
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页数:6
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共 29 条
[1]   Multipartite entanglement in three-mode Gaussian states of continuous-variable systems: Quantification, sharing structure, and decoherence [J].
Adesso, G ;
Serafini, A ;
Illuminati, F .
PHYSICAL REVIEW A, 2006, 73 (03)
[2]   Quantification and scaling of multipartite entanglement in continuous variable systems [J].
Adesso, G ;
Serafini, A ;
Illuminati, F .
PHYSICAL REVIEW LETTERS, 2004, 93 (22) :220504-1
[3]   Bipartite and multipartite entanglement of Gaussian states [J].
Adesso, Gerardo ;
Illuminati, Fabrizio .
QUANTUM INFORMATION WITH CONTINOUS VARIABLES OF ATOMS AND LIGHT, 2007, :1-+
[4]   Three-Color Entanglement [J].
Coelho, A. S. ;
Barbosa, F. A. S. ;
Cassemiro, K. N. ;
Villar, A. S. ;
Martinelli, M. ;
Nussenzveig, P. .
SCIENCE, 2009, 326 (5954) :823-826
[5]   Distributed entanglement [J].
Coffman, V ;
Kundu, J ;
Wootters, WK .
PHYSICAL REVIEW A, 2000, 61 (05) :5
[6]   Tripartite entanglement in parametric down-conversion with spatially structured pump [J].
Daems, D. ;
Bernard, F. ;
Cerf, N. J. ;
Kolobov, M. I. .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2010, 27 (03) :447-451
[7]   Three-mode entanglement by interlinked nonlinear interactions in optical χ(2) media [J].
Ferraro, A ;
Paris, MGA ;
Bondani, M ;
Allevi, A ;
Puddu, E ;
Andreoni, A .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2004, 21 (06) :1241-1249
[8]   Generation of continuous-variable tripartite entanglement using cascaded nonlinearities [J].
Guo, J ;
Zou, HX ;
Zhai, ZH ;
Zhang, JX ;
Gao, JR .
PHYSICAL REVIEW A, 2005, 71 (03)
[9]   Separability of mixed states: Necessary and sufficient conditions [J].
Horodecki, M ;
Horodecki, P ;
Horodecki, R .
PHYSICS LETTERS A, 1996, 223 (1-2) :1-8
[10]   Observation of squeezing using cascaded nonlinearity [J].
Kasai, K ;
Gao, JG ;
Fabre, C .
EUROPHYSICS LETTERS, 1997, 40 (01) :25-30