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Restricted (k, n)-threshold quantum secret sharing scheme based on local distinguishability of orthogonal multiqudit entangled states

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Abstract

In this work, we study a restricted (k, n)-threshold access structure. According to this structure, we construct a group of orthogonal multipartite entangled states in d-dimensional system and investigate the distinguishability of these entangled states under restricted local operations and classical communication. Based on these properties, we propose a restricted (k, n)-threshold quantum secret sharing scheme (called LOCC-QSS scheme). The k cooperating players in the restricted threshold scheme come from all disjoint groups. In the proposed protocol, the participants distinguish these orthogonal states by the computational basis measurement and classical communication to reconstruct the original secret. Furthermore, we also analyze the security of our scheme in three primary quantum attacks and give a simple encoding method in order to better prevent the participant conspiracy attack.

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Acknowledgements

We want to express our gratitude to anonymous referees for their valuable and constructive comments. This work was sponsored by the National Natural Science Foundation of China under Grant Nos. 61373150 and 61602291, and Industrial Research and Development Project of Science and Technology of Shaanxi Province under Grant No. 2013k0611.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710119, China

    Chen-Ming Bai, Zhi-Hui Li & Cheng-Ji Liu

  2. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Jing-Tao Wang

  3. College of Computer Science, Shaanxi Normal University, Xi’an, 710119, China

    Yong-Ming Li

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  1. Chen-Ming Bai
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  2. Zhi-Hui Li
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  3. Jing-Tao Wang
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  4. Cheng-Ji Liu
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Correspondence to Zhi-Hui Li.

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Bai, CM., Li, ZH., Wang, JT. et al. Restricted (k, n)-threshold quantum secret sharing scheme based on local distinguishability of orthogonal multiqudit entangled states. Quantum Inf Process 17, 312 (2018). https://doi.org/10.1007/s11128-018-2080-x

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