Abstract
In this paper, a novel quantum private comparison protocol with \(l\)-party and \(d\)-dimensional entangled states is proposed. In the protocol, \(l\) participants can sort their secret inputs in size, with the help of a semi-honest third party. However, if every participant wants to know the relation of size among the \(l\) secret inputs, these two-participant protocols have to be executed repeatedly \(\frac{l(l-1)}{2}\) times. Consequently, the proposed protocol needs to be executed one time. Without performing unitary operation on particles, it only need to prepare the initial entanglement states and only need to measure single particles. It is shown that the participants will not leak their private information by security analysis.
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Acknowledgments
The authors would like to thank associate professor Yong-bin Li, Dr. Xiao-yu Li and Dr. Fan Yang who come from UESTC for discussion and National Natural Science Foundation of China (Grant Nos. 61272175) for its support.
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Luo, Qb., Yang, Gw., She, K. et al. Multi-party quantum private comparison protocol based on \(d\)-dimensional entangled states. Quantum Inf Process 13, 2343–2352 (2014). https://doi.org/10.1007/s11128-014-0805-z
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DOI: https://doi.org/10.1007/s11128-014-0805-z