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Quantum secret sharing for general access structures based on multiparticle entanglements

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Abstract

In this paper, we study the implementation of quantum secret sharing (QSS) schemes for general access structures rather than the threshold structure. Using multiparticle entanglements in high-dimensional system, three novel multipartite QSS formalisms for general access structures are proposed. The method of how to build general access structures in these formalisms is discussed. A major feature of these formalisms is that a variety of secret sharing schemes with different access structures can be constructed depending on the dealer’s wish. Besides, hierarchic and threshold authorized structures can also be built. All of which make our formalisms highly flexible.

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Acknowledgments

This project was supported by NSFC (Grant Nos. 61272514, 61003287, 61170272, 61121061, 61161140320), NCET (Grant No. NCET-13-0681), the Specialized Research Fund for the Doctoral Program of Higher Education (20100005120002), the Fok Ying Tong Education Foundation (No. 131067) and the Fundamental Research Funds for the Central Universities (No. BUPT2012RC0221).

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Authors and Affiliations

  1. College of Computer Science, Xi’an Polytechnic University, Xi’an, 710048, China

    Ming-Ming Wang

  2. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Ming-Ming Wang, Xiu-Bo Chen & Yi-Xian Yang

  3. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China

    Xiu-Bo Chen

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  1. Ming-Ming Wang
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Correspondence to Ming-Ming Wang.

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Wang, MM., Chen, XB. & Yang, YX. Quantum secret sharing for general access structures based on multiparticle entanglements. Quantum Inf Process 13, 429–443 (2014). https://doi.org/10.1007/s11128-013-0660-3

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