Abstract
In this work, we point out that the multiparty secret sharing protocol of Tavakoli et al. (Phys Rev A 92:030302, 2015) based on a single d-level quantum system (where d is a prime number) is insecure and low efficient. In our paper, we show that all the secrets of distributor R1 can be stolen by q dishonest participants with the probability (q/N)ξ. An important improvement is proposed to fix up this security loophole. Besides, another improvement is given to increase the efficiency from 1/d to 1.
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Acknowledgements
This project was supported by NSFC (Grant Nos. 61671087, 61272514, 61170272, 61003287), the Fok Ying Tong Education Foundation (Grant No. 131067), the Major Science and Technology Support Program of Guizhou Province under Grant 20183001 and Open Foundation of Guizhou Provincial Key Laboratory of Public Big Data (2017BDKFJJ007).
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Chen, XB., Tang, X., Xu, G. et al. Cryptanalysis of secret sharing with a single d-level quantum system. Quantum Inf Process 17, 225 (2018). https://doi.org/10.1007/s11128-018-1988-5
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DOI: https://doi.org/10.1007/s11128-018-1988-5