Abstract
In this paper, we propose a rational hierarchical quantum state sharing protocol. First, the dealer shares an arbitrary two-particle entangled state with m high-power players and n low-power players through (m + n + 1)-particle cluster states. The high-power players and low-players have different authorities to reconstruct the quantum state. In detail, when a high-power player reconstructs the quantum state, he needs the help of the other high-power players and any low-power players; when a low-power player reconstructs the quantum, he needs the help of all the players. Then, in order to guarantee the fairness of the protocol, we make the players with different powers have the same possibility to be the player David who can reconstruct the quantum state shared by the dealer Alice, which means David is elected by all the rational players. Second, in the process of reconstructing the quantum state, when David is a high-power player, he does not need the help of all the low-power players. Under this circumstance, we analyze the game process and solve the bargaining equilibrium between David and the low-power players selected by David based on the Rubenstein bargaining model with incomplete information. Finally, our protocol achieves security, fairness, correctness, and strict Nash equilibrium, and conforms to the actual scenario.
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This work is supported by the National Key R&D Program of China (Grant No. 2020YFB1805405), the Foundation of Guizhou Provincial Key Laboratory of Public Big Data (Grant No. 2019BDKFJJ014), the Fundamental Research Funds for the Central Universities (Grant No. 2020RC38) and NSFC (Grant Nos. 92046001, 61671087, 61962009, 61971021), the Fundamental Research Funds for Beijing Municipal Commission of Education, the Scientific Research Launch Funds of North China University of Technology, and Beijing Urban Governance Research Base of North China University of Technology.
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Zhang, H. et al. (2022). A Rational Hierarchical Quantum State Sharing Protocol. In: Sun, X., Zhang, X., Xia, Z., Bertino, E. (eds) Artificial Intelligence and Security. ICAIS 2022. Lecture Notes in Computer Science, vol 13340. Springer, Cham. https://doi.org/10.1007/978-3-031-06791-4_9
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DOI: https://doi.org/10.1007/978-3-031-06791-4_9
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