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RETRACTED ARTICLE: Design of extended dense coding protocol strategy based on combinatorial optimization

Author

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  • Sheng-Kai Xia

    (Nanjing University of Posts and Telecommunications)

  • Ming-Jing Zeng

    (Nanjing University of Posts and Telecommunications)

Abstract

For the strategy of expanding dense coding protocols, firstly, a high-dimensional Hadamard matrix and CNOT gate are designed, and the encryption and decryption processes are implemented. Secondly, extend the protocol to multiple parties and consider attempting to establish an objective function for success probability when the initial resource is not the maximum quantum entangled state. Finally, we reconstruct the encryption and decryption processes in non-maximally entangled GHZ states. The research shows that this group of protocols is theoretically feasible in the infinite dimensional space, and confirms the advantages of high-dimensional entanglement, such as high channel capacity and strong anti-eavesdropping ability, which provides a good theoretical basis for in-depth research of high-dimensional entanglement in the field of quantum information.

Suggested Citation

  • Sheng-Kai Xia & Ming-Jing Zeng, 2023. "RETRACTED ARTICLE: Design of extended dense coding protocol strategy based on combinatorial optimization," Journal of Combinatorial Optimization, Springer, vol. 45(5), pages 1-21, July.
    • Handle: RePEc:spr:jcomop:v:45:y:2023:i:5:d:10.1007_s10878-023-01060-3
    DOI: 10.1007/s10878-023-01060-3
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