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Multiparty Semi-Quantum Secret Sharing with d-Level Single-Particle States

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Abstract

All previous semi-quantum secret sharing (SQSS) protocols have four common features: (1) they adopt product states or entangled states as quantum carriers; (2) the particles prepared by the quantum party are transmitted in a tree-type way; (3) they require the classical parties to possess the measurement capability; and (4) they are only suitable for two-level quantum system. In this paper, we generalize the SQSS concept into the d-level quantum system and propose two multiparty semi-quantum secret sharing (MSQSS) protocols with d-level single-particle states which do not require the classical parties to have the measurement capability. In the first protocol, the particles prepared by the quantum party are transmitted in a tree-type way, while in the second protocol, the particles prepared by the quantum party are transmitted in a circular way. The proposed MSQSS protocols are secure against some famous attacks, such as the intercept-resend attack, the measure-resend attack, the entangle-measure attack and the participant attack.

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Acknowledgments

Funding by the Natural Science Foundation of Zhejiang Province (Grant No.LY18F020007), the Public Welfare Project Foundation of Zhejiang Provincial Science and Technology Department (Grant No. LGG18F020006) and the Foundation of Zhejiang Provincial Education Department (Grant No. Y201737672) is gratefully acknowledged.

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Authors and Affiliations

  1. College of Information & Electronic Engineering, Zhejiang Gongshang University, Hangzhou, 310018, People’s Republic of China

    Ye Chong-Qiang, Ye Tian-Yu, He De & Gan Zhi-Gang

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  1. Ye Chong-Qiang
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  2. Ye Tian-Yu
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  4. Gan Zhi-Gang
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Correspondence to Gan Zhi-Gang.

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Chong-Qiang, Y., Tian-Yu, Y., De, H. et al. Multiparty Semi-Quantum Secret Sharing with d-Level Single-Particle States. Int J Theor Phys 58, 3797–3814 (2019). https://doi.org/10.1007/s10773-019-04248-8

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