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Modern Physics Letters B

Cyclic quantum teleportation of an unknown multi-particle high-dimension state

Fan Wu, Ming-Qiang Bai, Yuchun Zhang, Ren-Ju Liu, Zhiwen Mo

Published Jan 16, 2020• 20 citations
Publisher

Abstract

In this paper, via 12-particle entangled states as quantum channels, two schemes for cyclic quantum teleportation are proposed by using two different measurement methods, one is the Bell state measurement, the other is single-particle measurement. Besides, these schemes can be generalized to realize the probabilistic teleportation of an unknown multi-particle high-dimension state. Furthermore, feasibility for the schemes and some conclusions are discussed at the end of this paper.

DOI
10.1142/s0217984920500736

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In this paper, via 12-particle entangled states as quantum channels, two schemes for cyclic quantum teleportation are proposed by using two different measurement methods, one is the Bell state measurement, the other is single-particle measurement. Besides, these schemes can be generalized to realize the probabilistic teleportation of an unknown multi-particle high-dimension state. Furthermore, feasibility for the schemes and some conclusions are discussed at the end of this paper.
In the existing research on cyclic teleportation protocols, it is generally discussed that the teleportation of single particle, two particle unknown quantum states with symmetrical structure or asymmetric special unknown quantum states (such as GHZ state) with three or four participants. In contrast, the scheme proposed in this paper has universality and stronger practicability. In this paper, we propose a novel scheme of asymmetric cyclic controlled teleportation. In our scheme, Alice can teleport an arbitrary single-qubit entangled state to Charlie, Charlie can teleport an arbitrary three-qubit entangled state to Bob and at the same time Bob can teleport an arbitrary two-qubit entangled state to Alice under the control of a controller David. It only needs Bell measurement and local unitary operation, and can realize three-party cyclic transmission with probability 1 by using a quantum channel composed of any six of the 16 G states.
In this paper, two three-party cyclic teleportation schemes for real arbitrary quantum states of a single particle and two particles are proposed for the first time. In the first ([Formula: see text]) scheme, Alice sends any single particle state to Bob, Bob sends any two-particle states to Charlie, and meanwhile Charlie sends any single particle state to Alice. In the second ([Formula: see text]) scheme, with the help of the controller David, Alice sends any two-particle states to Bob, Bob sends any two-particle states to Charlie, and Charlie sends any single particle state to Alice simultaneously. Based on the maximum entangled quantum channel shared in advance, the communication participants carry out some Bell state measurement (BSM) measurements and carry out corresponding unitary transformation according to the results published by each other. After that, the cyclic teleportation of predetermined quantum information can be successfully realized. The success probability of teleportation of both schemes can reach 100%. Finally, this paper briefly analyzes the security of the two schemes and compares them with some previously published schemes from the perspective of inherent efficiency. The results show that the two schemes proposed in this paper are safe and have high inherent efficiency. Different from the previous symmetric cyclic quantum teleportation methods, the asymmetric cyclic quantum teleportation schemes proposed in this paper are more universal.
In this paper, two schemes for cyclic quantum teleportation (CQT) and cyclic controlled quantum teleportation (CCQT) in a high-dimension system are proposed. In the first scheme, three distant agents, Alice, Bob and Charlie, are not only the senders but also the receivers, and via the six-qutrit entangled state as the quantum channel, Alice can transfer her quantum information to Bob, at the same time, Bob can transfer his quantum information to Charlie and Charlie can transfer his quantum information to Alice. While for the second scheme, there is one controller David, and only with the help of him can the teleportation be accomplished via the seven-qutrit entangled state as the quantum channel. These schemes can be generalized to realize the teleportation with [Formula: see text] agents. Furthermore, the resource consumption and feasibility of the schemes are investigated at the end of the paper.
We first provide four new schemes for two-party quantum teleportation of an arbitrary unknown multi-particle state by using three-, four-, and five-particle states as the quantum channel, respectively. The successful probability and fidelity of the four schemes reach 1. In the first two schemes, the receiver can only apply one of the unitary transformations to reconstruct the original state, making it easier for these two schemes to be directly realized. In the third and fourth schemes, the sender can preform Bell-state measurements instead of multipartite entanglement measurements of the existing similar schemes, which makes real experiments more suitable. It is found that the last three schemes may become tripartite controlled teleportation schemes of teleporting an arbitrary multi-particle state after a simple modification. Finally, we present a new scheme for three-party sharing an arbitrary unknown multi-particle state. In this scheme, the sender first shares three three-particle GHZ states with two agents. After setting up the secure quantum channel, an arbitrary unknown multi-particle state can be perfectly teleported if the sender performs three Bell-state measurements, and either of two receivers operates an appropriate unitary transformation to obtain the original state with the help of other receiver's three single-particle measurements. The successful probability and fidelity of this scheme also reach 1. It is demonstrated that this scheme can be generalized easily to the case of sharing an arbitrary unknown multi-particle state among several agents.
We establish a scheme for probabilistically teleporting an unknown 3D(dimensional) two-particle state using non-maximally entangled states as a quantum channel.In this scheme,the probabilistic teleportation is realized by using the new orthogonal complete bases measurement instead of the traditional Bell measurement,and we also use 3D entangled state as the quantum channel.These are different from the previous schemes.This scheme is more convenient for the receiver,because users could realize communication with less operators.
We present a scheme to probabilistically teleport an arbitrary and unknown three-particle state via a two-particle non-maximally entangled state and a four-particle non-maximally entangled state as the quantum channel. With the help of Bell-state measurements, an arbitrary three-particle state can be perfectly teleported if a receiver introduces a collective unitary transformation. All kinds of unitary transformations are given in greater detail. This scheme can be generalized to the teleportation of an arbitrary and unknown multiparticle state.