Quantum Distributed Ballot Scheme Based on Greenberger-Horne-Zeilinger State

Juan Wang, Guang‐Bao Xu, Dong‐Huan Jiang

Shi Rong-Hua, Ying Wu, Ying Guo +1 more

Motivated by the complementary relations of the Greenherger–Horne–Zeilinger (GHZ) entangled triplet-particle states, a novel way of realizing quantum distributed ballot scheme is proposed. The ballot information is encoded by local operations performed on the particles of entangled GHZ triplet states, which ensures the security of the present scheme. In order to guarantee the security of this scheme, the checking phase is designed in detail on the basis of the entangled GHZ triplet state. The analysis shows the security of the proposed scheme.

Xiaoping Lou, Zhigang Chen

Wenhao Zhao, Min Jiang

Based on traveling ballot mode, we propose a secure quantum anonymous voting via Greenberger–Horne–Zeilinger (GHZ) states. In this scheme, each legal voter performs unitary operation on corresponding position of particle sequence to encode his/her voting content. The voters have multiple ballot items to choose rather than just binary options “yes” or “no”. After counting votes phase, any participant who is interested in voting results can obtain the voting results. To improve the efficiency of the traveling quantum anonymous voting scheme, an optimization method based on grouping strategy is also presented. Compared with the most existing traveling quantum voting schemes, the proposed scheme is more practical because of its privacy, verifiability and non-repeatability. Furthermore, the security analysis shows that the proposed traveling quantum anonymous voting scheme can prevent various attacks and ensure high security.

Yuan Li, Zeng Gui-Hua

In this paper, by using properties of quantum controlled-not manipulation and entanglement states, we have designed a novel (2, 3) quantum threshold scheme based on the Greenberger—Horne—Zeilinger (GHZ) state. The proposed scheme involves two phases, i.e. a secret sharing phase and a secret phase. Detailed proofs show that the proposed scheme is of unconditional security. Since the secret is shared among three participants, the proposed scheme may be applied to quantum key distribution and secret sharing.

Xiaoping Lou, Zhigang Chen