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Robust semi-quantum private comparison protocols against collective noises with decoherence-free states

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Abstract

Utilizing the advantage of decoherence-free (DF) states, two semi-quantum private comparison (SQPC) protocols against the collective-dephasing noise and collective-rotation noise are proposed, respectively. In the protocols, two semi-quantum parties (i.e. participants with limited quantum capabilities) can compare their secrets with the help of a semi-honest third party (TP). Some common outsider’s and insider’s attacks are also discussed. Moreover, the simulations of our protocols on the IBM Quantum Experience show that our protocols are not only robust under two collective noises, but also feasible under the current quantum technology.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (Grant Nos. 61772134, 61701553, 61773415, 61672104, 61602536) , Beijing Natural Science Foundation No.4194090, National Defense Science and Technology Innovation Special Zone Project (No. 18-163-11-ZT-002-045-04) and the Open Foundation of State key Laboratory of Networking and Switching Technology (Beijing University of Posts and Telecommunications) (SKLNST-2018-1-03).We acknowledge the use of IBM Quantum services for this work. The views expressed are those of the authors, and do not reflect the official policy or position of IBM or the IBM Quantum team.

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Authors and Affiliations

  1. School of Information, Central University of Finance and Economics, Beijing, 100081, China

    Yi-Han Tang, Heng-Yue Jia, Xia Wu, Hui-Min Chen & Yan-Mei Zhang

  2. College of Mathematics and Informatics, Fujian Normal University, Fuzhou, 350007, China

    Heng-Yue Jia

  3. State key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Heng-Yue Jia

  4. Engineering Research Center of State Financial Security, Ministry of Education, Central University of Finance and Economics, Beijing, 102206, China

    Xia Wu & Yan-Mei Zhang

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  1. Yi-Han Tang
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Tang, YH., Jia, HY., Wu, X. et al. Robust semi-quantum private comparison protocols against collective noises with decoherence-free states. Quantum Inf Process 21, 97 (2022). https://doi.org/10.1007/s11128-022-03444-6

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