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Physica Scripta

Cryptanalysis on the improved multiparty quantum secret sharing protocol based on the GHZ state

Xiu‐Bo Chen, Shuai Yang, Yuan Su, Yixian Yang

Published Oct 10, 2012• 20 citations
Publisher

Abstract

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.

DOI
10.1088/0031-8949/86/05/055002

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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.
Recently, Gao et al.'s [ Commun. Theor. Phys. 52 (2009) 421 ] multiparty quantum secret sharing (MQSS) protocol with two-photon three-dimensional Bell states was enhanced by Hwang et al. [ Commun. Theor. Phys. 56 (2011) 79 ]. The improved protocol removes some unnecessary unitary operations, devices, and transmissions by the technique of decoy single photons and careful modification. However, in this paper, we investigate the security of the improved protocol and find it is insecure. The eavesdropper can steal all Alice's secret information. Furthermore, a feasible modification to remedy the security loophole is put forward. Our improved protocol provides a basic method to modify a kind of MQSS protocols which cannot resist the collusion attack.
In a recent paper (Hwang et al 2011 Phys. Scr. 83 045004), a subtle quantum secret sharing (QSS) protocol was proposed. One major advantage of this protocol is its high efficiency; that is, it is more efficient than other QSS protocols using the Greenberger–Horne–Zeilinger states. However, we analyzed the security of this protocol and found that it is insecure for one agent who may deduce half of the information about the deal's secret directly just by his/her piece of secret. Finally, a feasible improvement of this QSS protocol is put forward.
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.