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International Journal of Theoretical Physics

Quantum Voting Scheme with Greenberger-Horne-Zeilinger States

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

Published Jul 7, 2020• 12 citations
Publisher
DOI
10.1007/s10773-020-04529-7

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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.
In this paper, we propose a scheme where Alice shares an arbitrary m-particle unknown state with her agents, Bob and Charlie. Alice starts by distributing 2m Einstein–Podolsky–Rosen pairs with her agents and performs m joint three-particle Greenberger–Horne–Zeilinger state measurements on her particles. Bob, who acts as the controller, performs a product measurement [Formula: see text] on his m qubit states while Charlie retrieves the original state by performing unitary operations on his m particles. Subsequently, we demonstrate our proposed scheme’s feasibility by applying it in electronic voting by sharing an arbitrary single-particle state.