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 σx1 ⊗ σ x2 ⊗⋯ ⊗ σ xm 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.

中文翻译：

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使用 Einstein-Podolsky-Rosen 对的任意 m 粒子态的量子态共享及其在量子投票中的应用

在本文中，我们提出了一种方案，其中 Alice 共享任意米- 与她的特工 Bob 和 Charlie 的粒子未知状态。Alice 首先分配 2米爱因斯坦-波多尔斯基-罗森与她的经纪人配对并表演米对她的粒子进行联合三粒子格林伯格-霍恩-蔡林格状态测量。Bob 作为控制器执行产品测量σX1 ⊗ σ X2 ⊗⋯ ⊗ σ X米在他的米量子位状态，而查理通过对其执行单一操作来检索原始状态米粒子。随后，我们通过共享任意单粒子状态将其应用于电子投票来证明我们提出的方案的可行性。