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Journal of the Optical Society of America B

Teleportation of entanglement using a three-particle entangled W state

Xiaoqin Gao, Zaichen Zhang, Yan-Xiao Gong, Bin Sheng, Xutao Yu

Published Dec 13, 2016• 27 citations
Publisher

Abstract

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.

DOI
10.1364/josab.34.000142

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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.
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We present a scheme for teleporting an arbitrary and unknown two-particle state from a sender to either one of two receivers. The quantum channel is composed of two non-maximally three-particle entangled W states. An arbitrary two-particle state can be perfectly teleported probabilistically if both the sender performs two generalized Bell-state measurements and either one of two receivers adopts an appropriate unitary transformation, conditioned on the suitable measurement outcomes of the other receiver and classical information.
In this paper, two schemes for teleporting an unknown three-particle three-level entangled state are proposed. In the first scheme, two partial three-particle three-level entangled states are used as the quantum channels, while in the second scheme, three two-particle three-level non-maximally entangled states are employed as quantum channels. It is shown that the teleportation can be successfully realized with certain probability, for both two schemes, if a receiver adopts some appropriate unitary transformations. It is shown also that the successful probabilities of these two schemes are different.
A scheme for teleporting an arbitrary and unknown three-particle state from a sender to either one of two receivers is proposed. The quantum channel is composed of a two-particle non-maximally entangled state and two three-particle non-maximally entangled W states. An arbitrary three-particle state can be perfectly teleported probabilistically if the sender performs three generalized Bell-state measurements and sends to the two receivers the classical result of these measurements and either one of the two receivers adopts an appropriate unitary transformation conditioned on the suitable measurement outcomes of the other receiver. All kinds of unitary transformations are given in detail.
Two schemes of teleporting an unknown three-particle entangled state from the sender (Alice) to the receiver (Bob) are proposed. In both schemes, a four-particle maximally entangled cluster state and a four-particle non-maximally entangled cluster state are used quantum channel, respectively. It is shown that if the quantum channel is the maximally entangled cluster state, the unknown three-particle entangled state can be teleported perfectly with the successful probability is 1; if the quantum channel is the non-maximally entangled cluster state, the probability of successful teleportation is determined by two smaller superposition coefficients.
We present a scheme to teleport an unknown three-particle entangled state from a sender to either one of two receivers. The partial three-particle entangled state and the three-particle entangled W state are considered as the quantum channels. An unknown three-particle entangled state can be perfectly teleported probabilistically by performing two generalized Bell measurements and the Hadamard operation at the sender's side and introducing an appropriate unitary transformation in each receiver's laboratory conditioned on the simple measurement outcome of the other. All kinds of unitary transformations are given in details. This scheme can be directly generalized to teleport an unknown three-particle entangled state from a sender to any one of N receivers by the partial three-particle entangled state and the ( N + 1)-particle entangled W state.