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Chinese Physics B

A criterion for quantum teleportation of an arbitrary N -particle state via a 2 N -particle quantum channel

Liu Da-Ming, Yanwei Wang, XIU-MEI JIANG, Yi-Zhuang Zheng

Published Feb 1, 2010• 13 citations
Publisher

Abstract

A criterion for he tquantum teleportation of an arbitrary N -particle state via a 2 N -particle quantum channel is presented by introducing a term of the "judgment operator". Using the criterion, not only the qualitative judgment of the possibility of successful teleportation can be made but also the quantitative calculation of the probability of successful teleportation can be explicitly given. In addition, a new genuine four-qubit entangled state is proposed, which could not belong to the category of previously known states under stochastic local operations and classical communication.

DOI
10.1088/1674-1056/19/2/020307

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A criterion for he tquantum teleportation of an arbitrary N -particle state via a 2 N -particle quantum channel is presented by introducing a term of the "judgment operator". Using the criterion, not only the qualitative judgment of the possibility of successful teleportation can be made but also the quantitative calculation of the probability of successful teleportation can be explicitly given. In addition, a new genuine four-qubit entangled state is proposed, which could not belong to the category of previously known states under stochastic local operations and classical communication.
In the process of Quantum teleportation if an arbitrary N particle quantum state teleportation is realized,the sender Alice and receiver Bob should establish a quantum channel which is a nonlocal 2N entangled particle.The sonder does n times Bell-state measurements to the N particle quantum state,which needs to be send,and those particles belongs to its entangled particle.There will be 22N callapses states and 22N transformation operators.In this paper both formula of the transformation operators and the relationship among 22N transformation operators are given.The possibility of success and the necessary condition of quantum teleportation are also discussed.
In this letter, a scheme of teleporting a N-particle entangled state is proposed. n EPR states are used as quantum channels, the sender wants to teleport a quantum state to the receiver, She makes n Bell-state measurement on particles belong to her, and sends the results of measurement through a classical information channel to the receiver, According to the measurement results of the sender, the receiver performs a respective unitary operator on particles belong to him. The teleportation is successfully realized, and the probability of successful telepotation is one. It is different from the scheme in ref. [7], the quantum logic circuit may be presented easily.