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International Journal of Theoretical Physics

Novel Quantum Voting Protocol with Eight-Qubit Cluster Entangled State

Yanping Li, Fuxiao Zhou, Tian‐Yin Wang, Laifeng Lu

Published Aug 8, 2020• 6 citations
Publisher
DOI
10.1007/s10773-020-04452-x

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Anonymous voting enables no one to link a vote and a voter and it has been widely used in contexts such as governmental elections and decision making in groups. In this paper we propose a resource-efficient self-tallying quantum anonymous voting (SQAV) protocol with two-particle entangled states. Similar to the first SQAV protocol with multipartite entangled states [Phys. Rev. A 94, 022333 (2016)], it possesses the properties of privacy, nonreusability, verifiability, fairness, binding, and self-tallying at the same time. We analyze its performance in a noisy quantum network. Our protocol requires mn[1+log2(n+1)]mn[1+{log}_{2}(n+1)]mn[1+log2​(n+1)] qubits to prepare the information states, and its quantum resource cost is lower than that of the first SQAV protocol, where n2log2m+nlog2n{n}^{2}{log}_{2}m+n{log}_{2}nn2log2​m+nlog2​n qubits are required to prepare the information states. We also prove the optimality of our quantum resource cost. To be more practical, it is further generalized to the case with three kinds of votes including positive votes, negative votes, and abstaining from voting. Our generalized protocol requires n(2m+1)[1+log2(n+1)]n(2m+1)[1+{log}_{2}(n+1)]n(2m+1)[1+log2​(n+1)] qubits to prepare the information states, which also has lower quantum resource cost than that of the improved SQAV protocol [IEEE Trans. Inf. Forens. Secur. 17, 3264 (2022)], where n2log2(2m+1)+nlog2n{n}^{2}{log}_{2}(2m+1)+n{log}_{2}nn2log2​(2m+1)+nlog2​n qubits are required to prepare the information states. In contrast to multipartite entangled states, two-particle entangled states are relatively easy to prepare, which makes the proposed protocol feasible using current technology.
The preparation of multipartite entangled states is the prerequisite for exploring quantum information networks and quantum computation. In this Letter, we present what we believe is the first experimental demonstration of an eight-partite spatially separated continuous variable (CV) cluster state of optical modes. Via the linearly optical transformation of eight squeezed states of light, the eight-partite cluster entangled state with amplitude and phase quadrature correlations are prepared. The generated eight entangled photonic qumodes are spatially separated, which provides valuable quantum resources for implementing CV quantum information protocols.