中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2835-2839.doi: 10.1088/1009-1963/15/12/011

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A new representation and probabilistic teleportation of an arbitrary and unknown N -particle state

董 莉, 修晓明, 高亚军   

  1. Department of Physics, Bohai University, Jinzhou 121000, China
  • 收稿日期:2006-04-17 修回日期:2006-05-16 出版日期:2006-12-20 发布日期:2006-12-20

A new representation and probabilistic teleportation of an arbitrary and unknown N -particle state

Dong Li(董莉)†, Xiu Xiao-Ming(修晓明), and Gao Ya-Jun(高亚军)   

  1. Department of Physics, Bohai University, Jinzhou 121000, China
  • Received:2006-04-17 Revised:2006-05-16 Online:2006-12-20 Published:2006-12-20

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摘要： A new representation of an arbitrary and unknown N-particle state is presented at first. As an application, a scheme for teleporting an arbitrary and unknown N-particle state is proposed when N pairs of two-particle non-maximally entangled states are utilized as quantum channels. After Alice (sender) makes Bell-state measurement on her particles, Bob (recipient) introduces an auxiliary particle and carries out appropriate unitary transformation on his particle and the auxiliary particle depending on classical information from Alice. Then, von Neumann measurement that confirms whether the teleportation succeeds or not is performed by Bob on the auxiliary particle. In order to complete the teleportation, another N-1 times operations need to be performed which are similar to the above ones. It can be successfully realized with a certain probability which is determined by the product of the smaller coefficients of non-maximally entangled pairs. All possible unitary transformations are given in detail.

关键词: arbitrary and unknown $N$-particle state, probabilistic teleportation, entanglement

Abstract: A new representation of an arbitrary and unknown N-particle state is presented at first. As an application, a scheme for teleporting an arbitrary and unknown N-particle state is proposed when N pairs of two-particle non-maximally entangled states are utilized as quantum channels. After Alice (sender) makes Bell-state measurement on her particles, Bob (recipient) introduces an auxiliary particle and carries out appropriate unitary transformation on his particle and the auxiliary particle depending on classical information from Alice. Then, von Neumann measurement that confirms whether the teleportation succeeds or not is performed by Bob on the auxiliary particle. In order to complete the teleportation, another N-1 times operations need to be performed which are similar to the above ones. It can be successfully realized with a certain probability which is determined by the product of the smaller coefficients of non-maximally entangled pairs. All possible unitary transformations are given in detail.

Key words: arbitrary and unknown $N$-particle state, probabilistic teleportation, entanglement

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.65.Ta (Foundations of quantum mechanics; measurement theory) 03.67.Lx (Quantum computation architectures and implementations)