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Threshold quantum secret sharing based on single qubit

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Abstract

Based on unitary phase shift operation on single qubit in association with Shamir’s (tn) secret sharing, a (tn) threshold quantum secret sharing scheme (or (tn)-QSS) is proposed to share both classical information and quantum states. The scheme uses decoy photons to prevent eavesdropping and employs the secret in Shamir’s scheme as the private value to guarantee the correctness of secret reconstruction. Analyses show it is resistant to typical intercept-and-resend attack, entangle-and-measure attack and participant attacks such as entanglement swapping attack. Moreover, it is easier to realize in physic and more practical in applications when compared with related ones. By the method in our scheme, new (tn)-QSS schemes can be easily constructed using other classical (tn) secret sharing.

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Acknowledgements

We would like to thank the anonymous reviewer for helpful suggestions. This work was supported by the National Natural Science Foundation of China under 61572454, 61572453, 61472382, 61520106007.

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Correspondence to Fuyou Miao.

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Lu, C., Miao, F., Meng, K. et al. Threshold quantum secret sharing based on single qubit. Quantum Inf Process 17, 64 (2018). https://doi.org/10.1007/s11128-017-1793-6

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