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Modern Physics Letters B

Cryptanalysis and improvement of the novel semi-quantum secret sharing scheme based on Bell states

Bingren Chen, Wei Yang, Liusheng Huang

Published Aug 8, 2018• 6 citations
Publisher

Abstract

A recent paper proposed a semi-quantum secret sharing (SQSS) scheme based on Bell states [A. Yin et al., Mod. Phys. Lett. B. https://doi.org/10.1142/S0217984917501500 ]. This protocol was presumed that only the sender has the quantum power and all participants perform classical operations. However, we find this protocol is not that secure as it is expected. We can utilize the intercept-resend method to attack this scheme. Then, we give an improvement strategy based on semi-quantum key distribution, which ensures that the new scheme resists the attack we have proposed.

DOI
10.1142/s0217984918502949

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A recent paper proposed a semi-quantum secret sharing (SQSS) scheme based on Bell states [A. Yin et al., Mod. Phys. Lett. B. https://doi.org/10.1142/S0217984917501500 ]. This protocol was presumed that only the sender has the quantum power and all participants perform classical operations. However, we find this protocol is not that secure as it is expected. We can utilize the intercept-resend method to attack this scheme. Then, we give an improvement strategy based on semi-quantum key distribution, which ensures that the new scheme resists the attack we have proposed.
The security of a secret sharing protocol is compromised if one or more dishonest participants can reconstruct the secret by deviating from the prescribed protocol, particularly when such malicious behavior remains undetected. Semi-Quantum Secret Sharing (SQSS) is a variant of secret sharing in which the participants possess only classical capabilities, such as preparing and measuring qubits in the computational (ZZZ) basis, while a quantum-capable third party assists the dealer in generating and distributing quantum shares of a classical secret. The limited quantum capabilities of the participants in SQSS protocols may introduce vulnerabilities to collusion attacks, enabling an assisting quantum third party, in collaboration with a dishonest classical participant, to jointly recover the secret even without detection. In this work, we propose a novel SQSS protocol that eliminates this vulnerability and achieves information-theoretic security against collusion attacks. We further prove that the proposed protocol is secure against a broad class of external and internal attacks. Finally, a comparative analysis demonstrates that our construction advances existing SQSS protocols by simultaneously optimizing qubit efficiency, involves a classical dealer, and resilience against DCNA attacks using basic Bell states.
A semi-quantum secret sharing (SQSS) scheme based on Bell states is proposed in this paper. The sender who can perform any relevant quantum operations uses Bell states to share the secret keys with her participants that are limited to perform classical operations on the transmitted qubits. It is found that our scheme is easy to generalize from three parties to multiparty and more efficient than the previous schemes [Q. Li, W. H. Chan and D. Y. Long, Phys. Rev. A 82 (2010) 022303; L. Z. Li, D. W. Qiu and P. Mateus, J. Phys. A: Math. Theor. 26 (2013) 045304; C. Xie, L. Z. Li and D. W. Qiu, Int. J. Theor. Phys. 54 (2015) 3819].
Recently, a mutual semi-quantum key agreement protocol using Bell states is proposed by Yan et al. (Mod. Phys. Lett. A, 34, 1950294, 2019). The proposed protocol tries to help a quantum participant share a key with a classical participant who just has limited quantum capacities. Yan et al. claimed that both the participants have the same influence on the final shared key. However, this study points out that the classical participant can manipulate the final shared key by himself/herself without being detected. To solve this problem, an improved method is proposed here.