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Chinese Physics Letters

Cryptanalysis and Improvement of Two GHZ-State-Based QSDC Protocols

Fen-Zhuo Guo, Qin Su-Juan, Wen Qiao-yan, Fu-Chen Zhu

Published Sep 1, 2010• 7 citations
Publisher

Abstract

In a recent paper[J. Korean. Phys. Soc. 49 (2006) 459], two GHZ-state-based quantum secure direct communication protocols were presented. Here we point out that an eavesdropper can utilize a special property of GHZ states, i.e. “correlation-elicitable" to obtain half information of the transmitted secrets without being detected in both protocols. The particular attack strategy is demonstrated in detail. Furthermore, a possible improvement is proposed, which makes the protocols secure against this kind of attack.

DOI
10.1088/0256-307x/27/9/090307

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In a recent paper[J. Korean. Phys. Soc. 49 (2006) 459], two GHZ-state-based quantum secure direct communication protocols were presented. Here we point out that an eavesdropper can utilize a special property of GHZ states, i.e. “correlation-elicitable" to obtain half information of the transmitted secrets without being detected in both protocols. The particular attack strategy is demonstrated in detail. Furthermore, a possible improvement is proposed, which makes the protocols secure against this kind of attack.
Recently, Liu et al (2011 Phys. Scr. 84 045015) pointed out that the multiparty quantum secret sharing (MQSS) protocol based on the GHZ state (Hwang et al 2011 Phys. Scr. 83 045004) is insecure. They found that an inside participant can deduce half of the sender's secret information directly just by his piece of the secret. In order to resist this attack, an improvement was put forward. However, in this paper, we find that Liu et al 's improved protocol is still insecure. We give details of three attack strategies to steal the secret information. It is shown that the eavesdropper can steal half or all of the secret information. Furthermore, a simple and ingenious MQSS protocol is proposed. We perform explicit cryptanalysis to prove that our improved protocol can resist the attacks from both the outside attackers and the inside participants, even the collusion attack.
The quantum secure direct communication protocol recently proposed by Cao and Song [Chin. Phys. Lett. 23 (2006) 290] (i.e., the C-S QSDC protocol) is revisited. A security leak is pointed out. Taking advantage of this leak, an eavesdropper may adopt the intercept–measure–resend strategy to attack the quantum channel such that in the C-S QSDC protocol the secret message can be completely eavesdropped. To fix the leak, the original version of the C-S QSDC protocol is revised. As a consequence, the security is improved and assured at least in the case of an ideal quantum channel.