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A dynamic multiparty quantum direct secret sharing based on generalized GHZ states

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Abstract

This paper proposes a new dynamic multiparty quantum direct secret sharing (DQDSS) using mutually unbiased measurements based on generalized GHZ states. Without any unitary operations, an agent can obtain a shadow of the secret by simply performing a measurement on single photons. In the proposed scheme, multiple agents can be added or deleted and the shared secret need not be changed. Our DQDSS scheme has several advantages. The dealer is not required to retain any photons and can further share a predetermined key instead of a random key to the agents. Agents can update their shadows periodically, and the dealer does not need to be online. Furthermore, the proposed scheme can resist not only the existing attacks, but also cheating attacks from dishonest agents. Hence, compared to some famous DQSS schemes, the proposed scheme is more efficient and more practical. Finally, we establish a mathematical model about the efficiency and security of the scheme and perform simulation analyses with different parameters using MATLAB.

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Acknowledgements

The authors would like to thank the anonymous referees for their very valuable comments that enhance the quality of this paper. This work was supported by the National Natural Science Foundation of China (61602291, 61671280, 11671244) and China Postdoctoral Science Foundation (2018M633456).

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Authors and Affiliations

  1. School of Computer Science, Shaanxi Normal University, Xi’an, 710062, China

    Yun Song & Yongming Li

  2. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China

    Zhihui Li

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  1. Yun Song
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  2. Zhihui Li
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  3. Yongming Li
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Correspondence to Yun Song.

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Song, Y., Li, Z. & Li, Y. A dynamic multiparty quantum direct secret sharing based on generalized GHZ states. Quantum Inf Process 17, 244 (2018). https://doi.org/10.1007/s11128-018-1970-2

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  • DOI: https://doi.org/10.1007/s11128-018-1970-2

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