Application of three-mode Einstein-Podolsky-Rosen entangled state with continuous variables to teleportation

doi:10.1088/1009-1963/16/8/008

中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2200-2210.doi: 10.1088/1009-1963/16/8/008

Application of three-mode Einstein-Podolsky-Rosen entangled state with continuous variables to teleportation

胡利云, 陆海亮

Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China

收稿日期:2006-07-16 修回日期:2007-01-11 出版日期:2007-08-20 发布日期:2007-08-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10475056).

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

Received:2006-07-16 Revised:2007-01-11 Online:2007-08-20 Published:2007-08-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10475056).

摘要/Abstract

摘要： We consider how to teleport two- and three-mode Einstein--Podolsky--Rosen entangled states (|\eta> and | p_t,\chi₂,\chi₃>) via a | p_t,\chi₂,\chi₃> 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.

关键词: entangled state representation, Einstein--Podolsky--Rosen (EPR) entangled state, quantum teleportation

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.

Key words: entangled state representation, Einstein--Podolsky--Rosen (EPR) entangled state, quantum teleportation

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Mn (Entanglement measures, witnesses, and other characterizations)

胡利云, 陆海亮. Application of three-mode Einstein-Podolsky-Rosen entangled state with continuous variables to teleportation[J]. 中国物理B, 2007, 16(8): 2200-2210.

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[J]. Chinese Physics, 2007, 16(8): 2200-2210.

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Application of three-mode Einstein-Podolsky-Rosen entangled state with continuous variables to teleportation

Application of three-mode Einstein-Podolsky-Rosen entangled state with continuous variables to teleportation

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