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Quantum secret sharing using the d-dimensional GHZ state

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Abstract

We propose a quantum secret sharing scheme that uses an orthogonal pair of n-qudit GHZ states and local distinguishability. In the proposed protocol, the participants use an X-basis measurement and classical communication to distinguish between the two orthogonal states and reconstruct the original secret. We also present (2, n)-threshold and generalized restricted (2, n)-threshold schemes that enable any two cooperating players from two disjoint groups to always reconstruct the secret. Compared to the existing scheme by Rahaman and Parker (Phys Rev A 91:022330, 2015), the proposed scheme is more general and the access structure contains more authorized sets.

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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 & Ting-Ting Xu

  2. 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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Correspondence to Zhi-Hui Li.

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Bai, CM., Li, ZH., Xu, TT. et al. Quantum secret sharing using the d-dimensional GHZ state. Quantum Inf Process 16, 59 (2017). https://doi.org/10.1007/s11128-016-1506-6

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