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International Journal of Modern Physics B

Optimal schemes for quantum teleportation of N-particle generalized Bell-type states

Xin-Wei Zha, Minrui Wang, Ruo-Xu Jiang

Published Sep 15, 2020• 0 citations
Publisher

Abstract

An optimal scheme is presented for the quantum teleportation of an arbitrary [Formula: see text]-particle generalized Bell-type state. In this paper, we have discussed three examples of two-particle, three-particle, and four-particle generalized Bell-type state in detail. Not only that, we have also analyzed the specific optimization process of quantum teleportation. Compared with previous schemes, our scheme has less quantum cost and transmission complexity due to the optimized quantum channel and operations.

DOI
10.1142/s0217979220502288

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An optimal scheme is presented for the quantum teleportation of an arbitrary [Formula: see text]-particle generalized Bell-type state. In this paper, we have discussed three examples of two-particle, three-particle, and four-particle generalized Bell-type state in detail. Not only that, we have also analyzed the specific optimization process of quantum teleportation. Compared with previous schemes, our scheme has less quantum cost and transmission complexity due to the optimized quantum channel and operations.
Recently, Xiu et al. [Common. Theor. Phys. 49 (2008) 905] proposed two schemes of teleporting an N particle arbitrary and unknown state when N groups of three particle general W states are utilized as quantum channels. They gave the maximal probability of successful teleportation. Here we find that their operation is not the optimal and the successful probability of the teleportation is not maximum. Moreover, we give the optimal schemes operation and obtain maximal successful probability for teleportation.
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.
Two schemes of teleporting an N-particle arbitrary and unknown state are proposed when N groups of three-particle general W states are utilized as quantum channels. In the first scheme, the quantum channels are shared by the sender and the recipient. After the sender's Bell-state measurements on his (her) particles, the recipient carries out unitary transformations on his (her) particles. And then, the recipient performs computational basis measurements to realize the teleportation. The recipient can recover the state on either of particle sequences with the equal maximal probability of successful teleportation if he (she) performs appropriate unitary transformations. In the second scheme, the quantum channels are shared by the sender, the recipient and the third ones. After the sender's Bell-state measurements and the third ones' computational basis measurements if they agree to cooperate, the recipient will introduce auxiliary particles and carry out appropriate unitary transformations. Finally, the recipient performs computational basis measurements to fulfill the teleportation. The second scheme can be realized if and only if the third ones agree to cooperate with the recipient.
We propose two schemes for teleporting an arbitrary three-particle state. In the first scheme, a two-particle state and a three-particle entangled state (both non-maximally entangled states) are used as quantum channels, while in the second scheme, three non-maximally entangled particle pairs are employed as quantum channels. We show that teleportation can be successfully realized with certain probability if a receiver adopts some appropriate unitary transformations. Their success probabilities and the classical communication costs are different.
We propose two schemes for teleporting an arbitrary three-particle state.In the first scheme,a two-particle state and a three-particle entangled state (both non-maximally entangled states)are used as quantum channels,while in the second scheme,three non-mnaximally entangled particle pairs are employed as quantum channels.We show that teleportation can be successfully realized with certain probability if a receiver adopts some appropriate unitary transformations.Their success probabilities and the classical communication costs are different.
There is much interest in the multiparty quantum communications where quantum teleportation using high dimensional entangled quantum channel is one of the promising tools. In this paper, we propose a more general scheme for M-party controlled teleportation of an arbitrary N-particle quantum state using N-1 identical Einstein-Podolsky-Rosen pairs and one (M+2)-particle Greenberger-Horne-Zeilinger state together as quantum channel. Based on which a 2-party controlled teleportation of an arbitrary 3-particle state is tested with our scheme as an example.