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Communications in Theoretical Physics

Enhanced Multiparty Controlled QSDC Using GHZ State

Shih-Hung Kao, Chia‐Wei Tsai, Tzonelih Hwang

Published Jun 1, 2011• 20 citations
Publisher

Abstract

Recently, Gao et al. [Opt. Commun. 283 (2010) 192] pointed out that Wang et al.'s multiparty controlled quantum secure direct communication (CQSDC) protocol [Opt. Commun. 266 (2006) 732] has the information leakage problem and proposed an improved protocol. However, in the improved protocol, due to the introduction of an additional random sampling to avoid the weakness, the qubit efficiency is decreased. By introducing the base changing technique to the random sampling in Wang et al.'s protocol, this study overcomes the information leakage problem and provides a better qubit efficiency.

DOI
10.1088/0253-6102/55/6/13

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Recently, Gao et al. [Opt. Commun. 283 (2010) 192] pointed out that Wang et al.'s multiparty controlled quantum secure direct communication (CQSDC) protocol [Opt. Commun. 266 (2006) 732] has the information leakage problem and proposed an improved protocol. However, in the improved protocol, due to the introduction of an additional random sampling to avoid the weakness, the qubit efficiency is decreased. By introducing the base changing technique to the random sampling in Wang et al.'s protocol, this study overcomes the information leakage problem and provides a better qubit efficiency.
It is found that the controlled quantum secure direct communication (CQSDC) based on a seven-qubit entangled state protocol [S. K. Wang, X. W. Zha and H. Wu, Int. J. Theor. Phys. 57, 48 (2018)] can be passively attacked. That is to say, this protocol has the security loophole of information leakage. To be specific, the first bit of the sender’s two-bit message can be deduced by an attacker Eve according to the first and the third bits of Alice’s announcement and the first bit of the controller Charlie’s announcement. Then, a way to fix this loophole is discussed.
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.
A security loophole exists in Gao et al.'s controlled quantum secure direct communication protocol. By employing the security loophole, the receiver can obtain the secret message sent by the sender without the permission of the controller in their protocol. In order to avoid this loophole, we present an improved protocol in this paper. In the improved protocol, entangled particles are prepared at random in two GHZ-like states, which ensure that the receiver is not able to recover the secret message without knowing the initially entangled state. Compared with the other improved version whose security depends on the perfect quantum channel, our improved protocol is secure in a noisy quantum channel. Therefore, our protocol is more practical.