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Chinese Physics

Teleportation of a three-particle entangled W state

Yi-Zhuang Zheng, Gu Yong-Jian, Guo Guang-Can

Published May 14, 2002• 26 citations
Publisher

Abstract

We have investigated the problem of teleporting a three-particle entangled W state and we propose a scheme based on entanglement swapping to complete the teleportation. We also put forward a scheme for the teleportation of a general W state by using nonmaximally entangled quantum channels. The probability of success of the latter scheme is obtained.

DOI
10.1088/1009-1963/11/6/304

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We have investigated the problem of teleporting a three-particle entangled W state and we propose a scheme based on entanglement swapping to complete the teleportation. We also put forward a scheme for the teleportation of a general W state by using nonmaximally entangled quantum channels. The probability of success of the latter scheme is obtained.
We propose a scheme for teleportation of a three-particle entangled W state through two-particle entangled quantum channels. Firstly, the maximally entangled states are taken as quantum channels, then, the case of nonmaximally entangled channels is considered. We find that when the channels are nonmaximally entangled states, by introducing an ancillary qubit and constructing an unitary transformation properly, teleportation of three-particle entangled W state can be implemented with certain probability.
We present a scheme for teleporting an unknown three-particle entangled W state from a sender to either of two receivers. Two partial three-particle entangled W states are used as the quantum channel. The success probability of teleportation depends on the entanglement degree of shared W states, which equals 4/9 for a quantum channel composed of two maximally entangled three-particle W states. The proposed scheme can be generalized to transmit an unknown m-particle entangled W state to any m-1 receiver and will be applied to long-distance transmission as well.
A scheme for teleporting an arbitrary three-particle W state from a sender to either of the two receivers is proposed,where the three three-particle W states quantum channel are taken as quantum channels.There are two ways to realize the intention of teleportation.It is proved that,for such maximally entangled quantum channels,there is still a certain probability of successful teleportation if the sender performs three generalized Bell-state measurements while either of the two receivers performs an appropriate unitary transformation with the help of the other suitable measurements in the basis of {|0,|1} and classical information;on the other hand,the probability of successful teleportation is not affected by the order of operations.The present scheme may be directly generalized to teleport an unknown N-particle W state from a sender to either of the two receivers by using N W states as quantum channels,as well as performing N Bell measurements.
In this scheme, N pairs of non-maximally entangled particle are used as quantum channel to teleport an unknown N-particle entangled W state via entanglement swapping, which has more generality. In order to realize this teleportation, the sender Alice performs Bell-measurements on particles belonging to her. Then the sender sends the results to the receiver Bob through the classical channel. According to the results, Bob performs a corresponding unitary on particles to reconstruct the original state. And then, teleporting an unknown three-particle entangled W state is presented.