密码学报（中英文）2025，Vol.12Issue(2)：457-468,12.DOI:10.13868/j.cnki.jcr.000773
基于高维簇态的量子多秘密共享
Quantum Multi-Secret Sharing with High Dimensional Cluster States
摘要
Abstract
Quantum secret sharing is a cryptographic primitive that utilizes the principle of quantum mechanics to protect the secret sharing process,and its security does not depend on the complexity of mathematical computation.Nevertheless,the most current quantum secret sharing protocols only share one single quantum secret and cannot satisfy the multi-secret sharing scenario.Therefore,a high-dimensional quantum multi-secret sharing protocol is proposed in this study.The proposed protocol takes advantage of quantum no-cloning properties to divide the shares into quantum and classical parts for transmission,so that the shares remain private after the reconstruction process.Meanwhile,the protocol takes advantage of the entanglement property of the high-dimensional cluster states,thus the reconstructor entangles and measures the particles,and performs the corresponding quantum operations,then the shares can be resembled and the quantum secrets sent by the dealer can be correctly recovered.The protocol utilizes the entanglement property of high-dimensional cluster states to combine the shares and recover the high-dimensional quantum secret sequence sent by the dealer.By analyzing the protocol under several common external and internal attacks,it can be proved that the protocol is theoretically secure.The protocol can reach the theoretical limit of the improvement ratio of multiple secret shares,maximizing the secret sharing efficiency.The high dimensional secrets shared by the proposed protocol can encode more information than other low dimensional particles.In addition,the quantum operations required in the proposed protocol are all common quantum operations,and the dealer can go offline after sending the secret,so that no measurement is needed for users other than the reconstructor,and thus it is practical under the current technology conditions.关键词
量子密码/量子多秘密共享/簇态/高维量子系统Key words
quantum cryptography/quantum multi-secret sharing/cluster state/high dimensional quantum system分类
信息技术与安全科学引用本文复制引用
马瑞海,蔡彬彬,林崧,张晓东..基于高维簇态的量子多秘密共享[J].密码学报（中英文）,2025,12(2):457-468,12.基金项目
国家自然科学基金(62171131,61976053) （62171131,61976053）
福建省自然科学基金(2022J01186,2023J01533)National Natural Science Foundation of China(62171131,61976053) （2022J01186,2023J01533）
Natural Science Foundation of Fujian Province(2022J01186,2023J01533) （2022J01186,2023J01533）
