Cryptanalysis of a new circular quantum secret sharing protocol for remote agents

Authors:
Zhen-Chao Zhu;Ai-Qun Hu;An-Min Fu
Affiliations:
Information Security Research Center, Southeast University, Nanjing, China 210096;Information Security Research Center, Southeast University, Nanjing, China 210096;School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China 210094
Venue:
Quantum Information Processing
Year:
2013

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Abstract

In a recent paper (Lin and Hwang in Quantum Inf Process, 2012. doi: 10.1007/s11128-012-0413-8 ), a new circular quantum secret sharing (QSS) protocol for remote agents was presented. The protocol is designed with entangling a Bell state and several single photons to form a multi-particle GHZ state. For each shared bit among n party, the qubit efficiency has reached 1/2n + 1 which is the best among the current circular QSS protocol. They claim that the protocol is more suitable for a remote agents' environment as that the newly generated photons are powerful enough to reach to the next receiver. However, we show that the protocol is not secure as the first agent and the last agent in the protocol can illegally obtain all the secret messages without introducing any error.