Yan, Fengli; Gao, Ting; Li, Youcheng Quantum secret sharing between multiparty and multiparty with four states. (English) Zbl 1138.94017 Sci. China, Ser. G 50, No. 5, 572-580 (2007). In this paper a protocol of quantum secret sharing between multiparty and multiparty with four states is presented. The authors show that this protocol can nullify different attacks (the attack with a multi-photon signal, the fake-signal attack, the attack with single protons, and the attack with invisible protons). They also give the upper bounds of the average success probabilities for dishonest agent eavesdropping encryption using the fake-signal attack with any two-particle entangled states. Reviewer: Zlatko Varbanov (Veliko Tarnovo) Cited in 5 Documents MSC: 94A62 Authentication, digital signatures and secret sharing 81P68 Quantum computation 94A60 Cryptography Keywords:security; Trojan horse attack; fake-signal attack; EPR pairs PDF BibTeX XML Cite \textit{F. Yan} et al., Sci. China, Ser. G 50, No. 5, 572--580 (2007; Zbl 1138.94017) Full Text: DOI References: [1] Yan F L, Gao T. Quantum secret sharing between multiparty and multiparty without entanglement. Phys Rev A, 2005, 72(1): 012304 [2] Li C M, Chang C C, Hwang T. Comment on ”Quantum secret sharing between multiparty and multiparty without entanglement”. Phys Rev A, 2006, 73(1): 016301 [3] Deng F G, Yan F L, Li X H, et al. Addendum to ”Quantum secret sharing between multiparty and multiparty without entanglement”. ArXiv: quant-ph/0508171 [4] Deng F G, Li X H, Zhou H Y, et al. Erratum: Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys Rev A, 2006, 73(4): 049901 [5] Cai Q Y. Eavesdropping on the two-way quantum communication protocols with invisible photons. Phys Lett A, 2006, 351(1): 23–25 · Zbl 1234.68031 · doi:10.1016/j.physleta.2005.10.050 [6] Nielsen M A, Chuang I L. Quantum Computation and Quantum Information. Cambridge: Cambridge University Press, 2000 · Zbl 1049.81015 [7] Zhang S, Feng Y, Sun X, et al. Upper bound for the success probability of unambiguous discrimination among quantum states. Phys Rev A, 2001, 64(6): 062103 [8] Wang M Y, Yan F L. Conclusive quantum state classification. ArXiv: quant-ph/0605127 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.