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Controlled Bidirectional Quantum Teleportation of Arbitrary Single Qubit via a Non-maximally Entangled State

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Abstract

Because of the decoherence induced by surrounding environments, the maximally entangled state is usually difficult to prepare and maintain. In this study, a teleportation scheme was developed using a five-qubit non-maximally entangled state as the quantum channel. With Charlie’s permission, Alice and Bob could teleport a single-qubit state to each other deterministically. The scheme was introduced in a noiseless environment first. As we all know, when a non-maximally entangled state was used as the quantum channel, teleportation might fail, and the state to be transmitted would be destroyed. To solve this problem, in this scheme, an appropriate unitary tranasformation was performed on the non-maximally entangled state in advance with the help of an auxiliary qubit. Then, we analyzed the influence of the quantum noise on the fidelity of the desired state using the example of amplitude damping during the qubit distribution. Finally, we utilized the weak measurement and the corresponding reversing measurement to increase fidelity. The results showed that the weak measurement was an effective method for enhancing teleportation.

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Acknowledgements

This work is supported by the National Key R&D Plan under Grant No. 2018YFC1200200 and 2018YFC1200205; Natural Science Foundation of Hunan Provincial of China under Grant No. 2020JJ4557; Scientific Research Fund of Anhui Provincial Education Department under Grant No. KJ2018A0084; Natural Science Foundation of Jiangxi Province of China under Grant No. 20192BAB207014; Science and Technology Research Project of Jiangxi Provincial Education Department under Grant No. GJJ190297;The Fund for Distinguished Young Scholars of Jiangxi Province under Grant No.2018ACB21013.

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Authors and Affiliations

  1. College of Information Engineering, Shanghai Maritime University, Shanghai, 201306, China

    She-Xiang Jiang, Ri-Gui Zhou & Gaofeng Luo

  2. School of Computer Science and Engineering, Anhui University of Science and Technology, Huainan, 232001, Anhui, China

    She-Xiang Jiang & Xingzhu Liang

  3. Research Center of Intelligent Information Processing and Quantum Intelligent Computing, Shanghai, 201306, China

    She-Xiang Jiang, Ri-Gui Zhou & Gaofeng Luo

  4. College of Information Engineering, Shaoyang University, Shaoyang, 422000, Hunan, China

    Gaofeng Luo

  5. School of Information Engineering, East China Jiaotong University, Nanchang, 330013, China

    Ping Fan

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  1. She-Xiang Jiang
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Correspondence to Ri-Gui Zhou.

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Jiang, SX., Zhou, RG., Luo, G. et al. Controlled Bidirectional Quantum Teleportation of Arbitrary Single Qubit via a Non-maximally Entangled State. Int J Theor Phys 59, 2966–2983 (2020). https://doi.org/10.1007/s10773-020-04557-3

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