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Physics Letters A

Improving the security of a quantum secret sharing protocol between multiparty and multiparty without entanglement

Lian-Fang Han, Yi-Min Liu, Shi Shou-Hua, Zhanjun Zhang

Published Sep 21, 2006• 39 citations
Publisher
DOI
10.1016/j.physleta.2006.09.009

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Abstract In the paper (EPJ Quant. Technol. 10:29, 2023), Kuo et al. proposed a multiparty quantum secret sharing protocol based on a novel structure and single qubits. Owing to the absence of an entanglement state, the proposed protocol is more practical than other quantum secret sharing protocols which use entanglement properties. Therefore, we study the security of the proposed protocol and find there exists a security loophole in the n-party ( $n\geq 4$ n ≥ 4 ) secret sharing case in it, that is, two dishonest agents can collude to obtain (part of) Alice’s secret without the help of the other agents. In order to overcome the security loophole, we give an improved protocol and make a security analysis for it. By calculating, the qubit efficiency of the three-party case in it is equal to $\frac{1}{8}$ 1 8 , which is higher than that in Hillery et al.’s protocol (Phys. Rev. A 59:1829, 1999).

EPJ Quantum Technology•Mar 25, 2024•8 citations
Abstract In the paper (EPJ Quant. Technol. 10:29, 2023), Kuo et al. proposed a multiparty quantum secret sharing protocol based on a novel structure and single qubits. Owing to the absence of an entanglement state, the proposed protocol is more practical than other quantum secret sharing protocols which use entanglement properties. Therefore, we study the security of the proposed protocol and find there exists a security loophole in the n-party ( n≥4n\geq 4n≥4 n ≥ 4 ) secret sharing case in it, that is, two dishonest agents can collude to obtain (part of) Alice’s secret without the help of the other agents. In order to overcome the security loophole, we give an improved protocol and make a security analysis for it. By calculating, the qubit efficiency of the three-party case in it is equal to 18\frac{1}{8}81​ 1 8 , which is higher than that in Hillery et al.’s protocol (Phys. Rev. A 59:1829, 1999).