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Secure Three-Party Semi-quantum Summation Using Single Photons

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Abstract

We first propose a three-party semi-quantum summation protocol with an almost-dishonest third party (TP) using single photons. TP who has full quantum power helps three classical users compute the summation of their private bit strings while the privacy of their inputs is preserved. For a particle from TP, three users’ operations are limited either to (1) reflect the particle without disturbance back to TP or to (2) measure the particle in the Z basis and resend the measured particle back to TP. We also show that our protocol is secure against both outside and participant attacks.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61902132, 11647140, and 61872152), the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2021A1515011985), the Natural Science Foundation of Guangdong Province of China (Grant No. 2018A030310147), the Shenzhen Polytechnic Youth Innovation Project (Grant Nos. 6019310010K0 and 6019310007K0), and the Shenzhen Technical Project (No. JCYJ20190809152003992).

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Authors and Affiliations

  1. College of Mathematics and Informatics, South China Agricultural University, Guangzhou, 510642, China

    Cai Zhang & Qiong Huang

  2. Department of Automation Engineering, Guangdong Technical College of Water Resources and Electric Engineering, Guangzhou, 510925, China

    Yinxiang Long

  3. School of Artificial Intelligence, Shenzhen PolyTechnic, Shenzhen, 518055, China

    Zhiwei Sun

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  1. Cai Zhang
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Correspondence to Zhiwei Sun.

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Zhang, C., Huang, Q., Long, Y. et al. Secure Three-Party Semi-quantum Summation Using Single Photons. Int J Theor Phys 60, 3478–3487 (2021). https://doi.org/10.1007/s10773-021-04921-x

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