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Using Eight Quantum Entangled States to Achieve Bidirectional Controlled Teleportation in a Noisy Environment

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Abstract

Quantum teleportation is an essential concept in quantum communication and quantum computing. bidirectional controlled quantum teleportation extends traditional quantum teleportation, transmitting information in two directions while ensuring security. It has become a hot topic of research. A bidirectional controlled quantum teleportation protocol based on eight-qubit entangled states is proposed. This protocol enables Alice and Bob to transmit two-qubit quantum states to each other under the control of a supervisor. The specific steps and derivation process of the theoretical plan were proposed, and the theory proved the correctness of the plan. To understand the impact of noise in quantum teleportation, the fidelity changes of this scheme were analysed under different types of noise channels. The influencing factors of fidelity were determined, which will provide a basis for optimising the transmission scheme and improving transmission performance in the future. An experimental circuit was built and simulated through the IBM Quantum Experience platform to verify the correctness and feasibility of the theory. The results showed that this solution can successfully reconstruct the sent quantum state with high fidelity. Finally, the security analysis of this scheme was conducted and compared with other traditional related schemes. This scheme has higher efficiency, lower resource consumption, simpler operation, and stronger security. The advantages of the scheme were pointed out.

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References

  1. Gisin, N., Ribordy, G.: Quantum cryptography. Rev. Mod. Phys. 74, 145 (2002)

    Article  ADS  Google Scholar 

  2. Quantum cryptography: public key distribution and coin tossing. (2024). https://doi.org/10.1016/j.tcs.2014.05.025

  3. Bennett, C.H., Brassard, G., Crépeau, C.: Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  4. Bouwmeester, D., Pan, J.-W.: Experimental quantum teleportation | nature. (1997)

  5. Bourennane, M., Karlsson, A.: Quantum teleportation using three-particle entanglement Phys. Rev. a 58, 4394 (1998)

    Article  MathSciNet  Google Scholar 

  6. A scheme for the teleportation of multiqubit quantum information via the control of many agents in a network. (2005). https://doi.org/10.1016/j.physleta.2005.06.048

  7. Deng, F.-G., Li, C.-Y., Li, Y.-S.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement Phys. Rev. a 72, 022338 (2005)

    Article  Google Scholar 

  8. Preparation of partially entangled w state and deterministic multi-controlled teleportation. (2008). https://doi.org/10.1016/j.optcom.2007.09.057

  9. Controlled teleportation against uncooperation of part of supervisors. (2009). https://doi.org/10.1007/s11128-009-0107-z

  10. Criterion for general quantum teleportation. (2002). https://doi.org/10.1016/S0375-9601(02)00430-9

  11. Quantum teleportation of the two-qubit entangled state by use of four-qubit entangled state. (2013). https://doi.org/10.1007/s10773-013-1543-1

  12. Bidirectional controlled quantum teleportation and secure direct communication using five-qubit entangled state. (2013). https://doi.org/10.1007/s11128-013-0638-1

  13. A scheme of bidirectional quantum controlled teleportation via six-qubit maximally entangled state. (2013). https://doi.org/10.3788/gzxb20134209.1052

  14. Quantum teleportation of a four-qubit state by using six-qubit cluster state. (2016). https://doi.org/10.1007/s10773-016-2982-2

  15. Effects of noise on asymmetric bidirectional controlled teleportation. (2016). https://doi.org/10.1007/s10773-016-3099-3

  16. Bidirectional multi-qubit quantum teleportation in noisy channel aided with weak measurement. (2017). https://doi.org/10.1088/1674-1056/26/4/040305

  17. Shi, L., Zhou, K., Wei, J., Zhu, Y., Zhu, Q.: Quantum controlled teleportation of arbitrary two-qubit state via entangled states. (2018)

  18. Quantum controlled teleportation of bell state using seven-qubit entangled state. (2020). https://doi.org/10.1007/s10773-020-04381-9

  19. Controlled bi-directional quantum teleportation of superposed coherent state using five qubit cluster-type entangled coherent state as a resource. (2021). https://doi.org/10.48550/arXiv.2105.00501arXiv:2105.00501

  20. Bidirectional controlled quantum teleportation of arbitrary two-qubit states using ten-qubit entangled channel in noisy environment. (2022). https://doi.org/10.1007/s10773-022-05229-0

  21. Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environments. (2015). https://doi.org/10.1007/s11128-015-1194-7

  22. Bidirectional teleportation of a two-qubit state by using eight-qubit entangled state as a quantum channel. (2017). https://doi.org/10.1007/s10773-017-3353-3

  23. Cyclic hybrid double-channel quantum communication via bell-state and GHZ-state in noisy environments. (2019). https://doi.org/10.1109/ACCESS.2019.2923322

  24. Bidirectional quantum controlled teleportation via a maximally seven-qubit entangled state. (2014). https://doi.org/10.1007/s10773-014-2065-1

  25. Bidirectional quantum controlled teleportation by using a genuine six-qubit entangled state. (2014). https://doi.org/10.1007/s10773-014-2221-7

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Acknowledgements

This work was supported in part by National Natural Science Fundation of China (62172060), Sichuan Science and Technology Program (2022YFG0316, 2023ZHCG0004) and National Key R &D Plan (2022YFB3304303).

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Author notes

  1. Dongfen Li, Yonghao Zhu, Xiaoyu Hua, You Fu, Jie Zhou, Xiaolong Yang and YuQiao Tan are contributed equally to this work.

Authors and Affiliations

  1. College of Computer Science and Cyber Security(Oxford Brookes College), Chengdu University of Technology, Erxianqiao East Third Road, Chengdu, 610059, China

    Yangyang Jiang, Dongfen Li, Yonghao Zhu, Xiaoyu Hua, You Fu, Jie Zhou, Xiaolong Yang & YuQiao Tan

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  1. Yangyang Jiang
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  2. Dongfen Li
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  3. Yonghao Zhu
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  5. You Fu
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  6. Jie Zhou
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  7. Xiaolong Yang
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  8. YuQiao Tan
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Correspondence to Yangyang Jiang.

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Appendix A

Appendix A

Table 6 The corresponding measurement basis and collapsed state of Alice Bob Chlarlie
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Jiang, Y., Li, D., Zhu, Y. et al. Using Eight Quantum Entangled States to Achieve Bidirectional Controlled Teleportation in a Noisy Environment. Int J Theor Phys 63, 86 (2024). https://doi.org/10.1007/s10773-024-05623-w

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