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Chinese Physics, 2007, Vol. 16(8): 2200-2210    DOI: 10.1088/1009-1963/16/8/008
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Application of three-mode Einstein-Podolsky-Rosen entangled state with continuous variables to teleportation

Hu Li-Yun(胡利云) and Lu Hai-Liang(陆海亮)
Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China
Abstract  We consider how to teleport two- and three-mode Einstein--Podolsky--Rosen entangled states ($\left\vert \eta\right\rangle $ and $\left\vert p_{t},\chi_{2},\chi_{3}\right\rangle $) via a $\left\vert p_{t},\chi_{2},\chi_{3}\right\rangle $quantum channel for continuous variables. Using the complete and orthogonal representation of the entangled states, we can not only find the a complete basis set for the joint measurement but also propose the specific scheme of teleportation. Our calculation can be greatly simplified by using their Schmidt decompositions.
Keywords:  entangled state representation      Einstein--Podolsky--Rosen (EPR) entangled state      quantum teleportation  
Received:  16 July 2006      Revised:  11 January 2007      Accepted manuscript online: 
PACS:  03.65.Ud (Entanglement and quantum nonlocality)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10475056).

Cite this article: 

Hu Li-Yun(胡利云) and Lu Hai-Liang(陆海亮) Application of three-mode Einstein-Podolsky-Rosen entangled state with continuous variables to teleportation 2007 Chinese Physics 16 2200

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