Multi-mode Einstein-Podolsky-Rosen Entangled State Representation and Its Applications

Han Zhao, Xiao-Qing Zhou, Xiao-Lin Yang

Li, Heng-Mei, Yuan +1 more

Heng-Mei Li, Yuan Hong-Chun

Our primary purpose of this work is to explicitly construct the general multipartite Einstein–Podolsky–Rosen (EPR) entangled state in multi-mode Fock space for a system with different masses of particles, which makes up a new quantum mechanical representation owing to completeness relation and orthogonal property. Its entanglement can be seen more clearly by analyzing its standard Schmidt decomposition. In addition, some applications of the multipartite entanglement are proposed including deriving the generalized Wigner operator and squeezing operator.

庞乾骏

Liyun Hu, Lu Hai-Liang

We consider how to teleport two- and three-mode Einstein–Podolsky–Rosen entangled states (|η⟩ and | p t , χ 2 , χ 3 ⟩) via a | p t ,χ 2 ,χ 3 ⟩ 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.

Sergio A Albeverio, Shao-Ming Fei, Song Tong-Qiang