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npj Quantum Information

Experimental demonstration of a two-voter quantum anonymous voting prototype with continuous variables

Piao Tan, Peng Huang, Qijun Zhang, Mingxuan Guo, Xiaojuan Liao, Hanwen Yin, Kuntuo Zhu, Tao Wang, Guihua Zeng

Published Jun 6, 2026• 0 citations
Publisher

Abstract

Classical electronic voting is increasingly being adopted for Internet-based elections, requiring system designs that ensure fairness, legitimacy, verifiability, and voter anonymity-thereby preserving ballot confidentiality, uniqueness, and integrity. Quantum voting can provide information-theoretic security against repudiation and forgery in such systems. However, compared to classical voting protocols, current quantum voting protocols often suffer from limited efficiency, high cost, and implementation complexity. Here, we introduce a streamlined and efficient quantum voting architecture that simplifies the process by eliminating the privacy amplification step in the voting phase while incorporating authority-assisted anonymity, while maintaining full voter authentication, voting, and tallying capabilities. In an experimental demonstration of a quantum voting network, two voters achieved authentication rates of 336 and 406 times per second over 50 km of single-mode fiber, and signed voting files of 25.02 kbit and 56.29 kbit at a quantum signing rate of 966 times per second, resulting in total voting rates of 244 and 279 times per second, respectively. This work represents the first experimental implementation of a continuous-variable (CV)-based quantum anonymous voting prototype. The architecture is designed to be compatible with existing coherent optical communication networks and provides a practical quantum-enhanced building block toward future voting systems.

DOI
10.1038/s41534-026-01291-2

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Classical electronic voting is increasingly being adopted for Internet-based elections, requiring system designs that ensure fairness, legitimacy, verifiability, and voter anonymity-thereby preserving ballot confidentiality, uniqueness, and integrity. Quantum voting can provide information-theoretic security against repudiation and forgery in such systems. However, compared to classical voting protocols, current quantum voting protocols often suffer from limited efficiency, high cost, and implementation complexity. Here, we introduce a streamlined and efficient quantum voting architecture that simplifies the process by eliminating the privacy amplification step in the voting phase while incorporating authority-assisted anonymity, while maintaining full voter authentication, voting, and tallying capabilities. In an experimental demonstration of a quantum voting network, two voters achieved authentication rates of 336 and 406 times per second over 50 km of single-mode fiber, and signed voting files of 25.02 kbit and 56.29 kbit at a quantum signing rate of 966 times per second, resulting in total voting rates of 244 and 279 times per second, respectively. This work represents the first experimental implementation of a continuous-variable (CV)-based quantum anonymous voting prototype. The architecture is designed to be compatible with existing coherent optical communication networks and provides a practical quantum-enhanced building block toward future voting systems.
Quantum information protocols offer significant advantages in properties such as security, anonymity, and privacy for communication and computing tasks. An application where guaranteeing the highest possible security and privacy is critical for democratic societies is electronic voting. As computational power continues to evolve, classical voting schemes may become increasingly vulnerable to information leakage. In this work, we present the experimental demonstration of an information-theoretically secure and efficient electronic voting protocol that, crucially, does not rely on election authorities, leveraging the unique properties of quantum states. Our experiment is based on a high-performance source of Greenberger-Horne-Zeilinger (GHZ) states and realizes a proof-of-principle implementation of the protocol in two scenarios: a configuration with four voters and two candidates employing privacy enhancement techniques and an election scenario supporting up to eight voters and sixteen candidates. The latter is particularly well-suited for secure board-level elections within organizations or small-scale governmental contexts.
We investigate the design of anonymous voting protocols, CV-based binary-valued ballot and CV-based multi-valued ballot with continuous variables (CV) in a multi-dimensional quantum cryptosystem to ensure the security of voting procedure and data privacy. The quantum entangled states are employed in the continuous variable quantum system to carry the voting information and assist information transmission, which takes the advantage of the GHZ-like states in terms of improving the utilization of quantum states by decreasing the number of required quantum states. It provides a potential approach to achieve the efficient quantum anonymous voting with high transmission security, especially in large-scale votes.
Anonymous voting is a voting method of hiding the link between a vote and a voter, the context of which ranges from governmental elections to decision making in small groups like councils and companies. In this paper, we propose a quantum anonymous voting protocol assisted by two kinds of entangled quantum states. Particularly, we provide a mechanism of opening and permuting the ordered votes of all the voters in an anonymous manner; any party who is interested in the voting results can acquire a permutation copy and then obtains the voting result through a simple calculation. Unlike all previous quantum works on anonymous voting, our quantum anonymous protocol possesses the properties of privacy, self-tallying, nonreusability, verifiability, and fairness at the same time. In addition, we demonstrate that the entanglement of the quantum states used in our protocol makes an attack from an outside eavesdropper and inside dishonest voters impossible. We also generalize our protocol to execute the task of anonymous multiparty computation, such as anonymous broadcast and anonymous ranking.
Ensuring security and integrity of elections constitutes an important challenge with wide-ranging societal implications. Classically, security guarantees can be ensured based on computational complexity, which may be challenged by quantum computers. We show that the use of quantum networks can enable information-theoretic security for the desirable aspects of a distributed voting scheme in a resource-efficient manner. In our approach, ballot information is encoded in quantum states that enable an exponential reduction in communication complexity compared to classical communication. In addition, we provide an efficient and secure anonymous queuing protocol based on a distributed secure sum. As a result, our scheme only requires modest quantum memories with size scaling logarithmically with the number of voters. This intrinsic efficiency together with certain noise-robustness of our protocol paves the way for its physical implementation in realistic quantum networks.
Self-tallying quantum anonymous voting (SQAV) has drawn considerable attention since it was proposed. However, constrained by design challenges, all existing protocols only accommodate single-selection voting and cannot support multi-selection voting. In this paper, we propose a SQAV protocol with multi-selection voting functionality. In our protocol, nmnmnm nnn-particle entangled states are equally divided into nnn groups, and the nnn particles in each entangled state are delivered to nnn voters, one particle per voter. Each voter obtains nnn voting vectors by sequentially measuring all his (or her) particles that belong to nnn different group, and then encodes his or her voting information into the vector corresponding to the secret index. Due to entanglement correlation, each voter can verify whether his or her ballot is correct through computation, while any participant can obtain the vote count for each candidate through computation. Our protocol satisfies self-tallying, nonreusability, verifiability, and fairness.
A series of quantum voting protocols of continuous variables is proposed. Three methods are employed to ensure that the quantum voting obeys some desirable rules. Entanglement is used to keep voters away from the voting results. We enable voters to operate identically to represent the same vote to prevent the tallyman from gaining information about individual voters. We also propose an effective scheme to prevent voters from voting more than once. In both two-valued and multivalued ballot protocols, several specific constraints are set to meet the rules.