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Chinese Physics

Teleportation of N -particle entangled W state via entanglement swapping

You-Bang Zhan

Published Oct 26, 2004• 26 citations
Publisher

Abstract

A scheme for teleporting an unknown N -particle entangled W state is proposed via entanglement swapping. In this scheme, N maximally entangled particle pairs are used as quantum channel. As a special case, the teleportation of an unknown four-particle entangled W state is studied.
DOI
10.1088/1009-1963/13/11/005

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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.
In this scheme, N non-maximally entangled particle pairs are used as quantum channel to teleport an unknown N -particle entangled GHZ state via entanglement swapping. In order to realize this teleportation, the sender Alice operates Bell-state measurement on particles belonging to herself. Then she informs the results to the receiver Bob through classical communication. According to the results, Bob operates corresponding transformation to reconstruct the initial state. The advantage of this scheme is that it needs only one common unitary matrix for Alice's different results, which has a more general meaning. As a special case, teleporting an unknown three-particle entangled GHZ state is proposed.
In this paper, two schemes for teleporting an unknown four-particle entangled W state is proposed. In the first scheme, two partial entangled four-particle states are used as quantum channels, while in the second scheme, four non-maximally entangled particle pairs are considered as quantum channels. It is shown that the teleportation can be successfully realized with certain probability, for both schemes, if a receiver adopts some appropriate unitary transformations. It is also shown that the successful probabilities of these two schemes are different.
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.