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Efficient Verifiable Quantum Secret Sharing Schemes via Eight-Quantum-Entangled States

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Abstract

Quantum secret sharing (QSS) protocols are designed to allow a secret message to be divided into several shadows, and the secret can be reconstructed cooperatively. Motivated by the eight quantum entangled (EQE) state, a tripartite verifiable QSS scheme is proposed. It involves three agents, in four phases, i.e., shadow distribution phase, eavesdropping detection phase, measurement and secret sharing phase, verification and secret recover phase. The protocol can not only share and recover the secret correctly, but also verify whether there are dishonest participants in communication. In addition, the protocol is extended to a multiparty quantum secret sharing scheme by utilizing the unitary operations. Security analysis shows that the proposed schemes achieve the fundamental security requirements against the external and internal attackers with the aid of the quantum decoy states. It is shown that the efficiency in classical and quantum transmission is higher than the other protocols.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (61602172, 61972418), Natural Science Foundation of Hunan Province (2017JJ3223, 2020JJ4750), the Training Program for Excellent Young Innovators of Changsha (Grant Nos. kq1905058).

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Authors and Affiliations

  1. Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, 410081, China

    Shaohua Jiang, Zehong Liu, Xiaoping Lou, Zhou Fan & Sheng Wang

  2. School of Computer Science and Engineering, Central South University, Changsha, 410083, China

    Jinjing Shi

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  1. Shaohua Jiang
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  2. Zehong Liu
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  3. Xiaoping Lou
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  4. Zhou Fan
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  5. Sheng Wang
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  6. Jinjing Shi
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Correspondence to Xiaoping Lou.

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Jiang, S., Liu, Z., Lou, X. et al. Efficient Verifiable Quantum Secret Sharing Schemes via Eight-Quantum-Entangled States. Int J Theor Phys 60, 1757–1766 (2021). https://doi.org/10.1007/s10773-021-04796-y

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  • DOI: https://doi.org/10.1007/s10773-021-04796-y

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