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Cryptanalysis of efficient multiparty quantum secret sharing based on a novel structure and single qubits

Xiao‐Qiu Cai, Zi‐Fan Liu, Shuang Li, Tian‐Yin Wang

Published Dec 6, 2023• 0 citations
Publisher

Abstract

Abstract Quantum secret sharing is a basic quantum cryptographic primitive, which has a lot of applications in information security and privacy preservation. An efficient multiparty quantum secret sharing protocol [EPJ Quantum Technology 2023 10: 29] based on a novel structure and single qubits was reported recently. In this paper, we give a cryptanalysis of this protocol and show that it cannot satisfy the security requirement for secret sharing because an unauthorized set of agents can gain access to some information on the dealer's secret by a special collusion attack. Furthermore, we put forward an effective way to deal with the security problem.

DOI
10.21203/rs.3.rs-3692842/v1

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Abstract Quantum secret sharing is a basic quantum cryptographic primitive, which has a lot of applications in information security and privacy preservation. An efficient multiparty quantum secret sharing protocol [EPJ Quantum Technology 2023 10: 29] based on a novel structure and single qubits was reported recently. In this paper, we give a cryptanalysis of this protocol and show that it cannot satisfy the security requirement for secret sharing because an unauthorized set of agents can gain access to some information on the dealer's secret by a special collusion attack. Furthermore, we put forward an effective way to deal with the security problem.
Quantum secret sharing is a basic quantum cryptographic primitive, which has a lot of applications in information security and privacy preservation. An efficient multiparty quantum secret sharing protocol (Kuo et al. in EPJ Quantum Technol 10(1):29, 2023) based on a novel structure and single qubits was reported recently. In this paper, we give a cryptanalysis of this protocol and show that it cannot satisfy the security requirement for secret sharing because an unauthorized set of agents can gain access to some information on the dealer's secret by a special collusion attack. Furthermore, we put forward a way to deal with the security problem.
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).
Quantum secret sharing is a basic quantum cryptographic primitive, which plays an important role in robust key management and secure multiparty computation etc. In this work, we give a cryptanalysis of efficient controlled semi-quantum secret sharing protocol with entangled states proposed recently, which shows that the controller can recover the secret if he cooperates with any one participant. Furthermore, an external opponent can make participants recover a false secret without being detected by a special denial-of-service attack. Therefore, this protocol does not satisfy the security requirement that any unauthorized set can gain access to no information on the secret and cannot guarantee its correctness.
This study proposes a multiparty single-photon semi-quantum secret sharing (SQSS) protocol to simultaneously improve quantum bit (qubit) efficiency and practical feasibility. Existing quantum secret sharing protocols typically assume that all participants possess full quantum capabilities, which limits their deployment in real-world environments. To address this issue, the proposed protocol was designed using a semi-quantum model, allowing N agents with limited quantum capabilities to participate in the secret-sharing process. In terms of efficiency, the proposed protocol employs single photons as quantum resources and is analyzed under a unified definition of qubit efficiency. The results show that the qubit efficiency of the proposed protocol reaches 12N\frac{1}{2N}2N1​ , which is comparable to the best recent quantum secret sharing protocols and outperforms most existing SQSS methods. Unlike certain protocols in which qubit efficiency decreases exponentially with the number of participants, the quantum resource consumption of the proposed protocol increases linearly with the number of agents. Consequently, its qubit efficiency decreases proportionally to 1N\frac{1}{N}N1​ , rather than exponentially, providing better scalability as the number of agents increases. In terms of security, the protocol is analyzed against several attack models, including intercept-resend, entangle-and-measure, collective, and collusion attacks. The analysis shows that an adversary cannot obtain useful information without detection under these attacks, demonstrating the robustness of the proposed protocol.