Quantum voting protocol from classical assumptions

Abstract Quantum voting allows us to design voting scheme by quantum mechanics. The existing quantum voting protocols mainly use quantum entangled states. However, the existing protocols consider the problem of repeated voting and tampered voting by malicious voters, and hybrid quantum voting protocols have not been discussed. In this paper, we use EFI pairs (Entity-Friendly Integer pairs) instead of quantum entangled states to address the shortage of existing protocols, and propose a new quantum voting protocol. Our protocol is structured to avoid repeated voting by any voter, and can prevent the leakage of voters' voting information. The security of our protocol can be finally reduced to a classical assumption i.e. BQP = QMA. In addition, compared with the existing results, our protocol has fewer interaction rounds. Combined with post-quantum key distribution (PQKD), we further optimize the protocol to prevent malicious adversaries from interfering with the final voting results. Moreover, we use extended noisy trapdoor claw-free function (ENTCF) to construct the first hybrid quantum voting protocol, which allows a classical voter to interact with a quantum center through a classical channel to complete the voting process.