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An Efficient Protocol for the Secure Multi-party Quantum Summation

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Abstract

In this paper, a new and efficient quantum protocol which allows a group of mutually distrustful players to perform the summation computation is proposed. Different from previous protocols, we utilize the multi-particle entangled states as the information carriers. A third party, i.e. TP, is assumed semi-honest in the two-party quantum summation protocol. All various kinds of outside attacks and participant attacks are discussed in detail. In addition, we code all players’ Bell-basis measurement outcomes into one classical bit (cbit). Not only the cost of classical information in the public communication network is decreased, but also the security of the protocol is improved. The protocol is also generalized into multi-party quantum summation. It is secure for the collusive attack performed by at most n−2 players.

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Authors and Affiliations

  1. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Xiu-Bo Chen, Yi-Xian Yang & Qiao-Yan Wen

  2. Key Laboratory of Network and Information Attack and Defense Technology of MOE, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Xiu-Bo Chen & Yi-Xian Yang

  3. College of Mechanical Engineering, Taiyuan University of Technology, Taiyuan, 030024, China

    Gang Xu

Authors
  1. Xiu-Bo Chen
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  2. Gang Xu
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  3. Yi-Xian Yang
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  4. Qiao-Yan Wen
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Correspondence to Xiu-Bo Chen.

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Chen, XB., Xu, G., Yang, YX. et al. An Efficient Protocol for the Secure Multi-party Quantum Summation. Int J Theor Phys 49, 2793–2804 (2010). https://doi.org/10.1007/s10773-010-0472-5

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  • DOI: https://doi.org/10.1007/s10773-010-0472-5

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