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Improving the Security of ‘High-Capacity Quantum Summation with Single Photons in both Polarization and Spatial-Mode Degrees of Freedom’

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Abstract

In 2014, Zhang et al. (Int J Theor Phys:53:933–941, 2014) proposed a secure multi-party quantum summation protocol based on single photons in both polarization and spatial-mode degrees of freedom. They claimed that the proposed protocol can efficiently help the involved participants to sum their secrets, and at the same time, each participant’s secret can be kept from being known by others. However, this study shows that Zhang et al.’s protocol suffers from the intercept-resend attack. To solve this problem, a modification is proposed here.

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Acknowledgements

We would like to thank the Ministry of Science and Technology of the Republic of China, Taiwan for partially supporting this research in finance under the Contract No. 107-2221-E-006 -077 -; No. 107-2218-E-218-004-MY2; No. 107-2627-E-006 -001 -; No. MOST 107-2627-E-002-002-.

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Authors and Affiliations

  1. Department of Computer Science and Information Engineering, National Cheng Kung University, No. 1, University Rd, Tainan City, 70101, Taiwan, Republic of China

    Jun Gu & Tzonelih Hwang

  2. Department of Computer Science and Information Engineering, Southern Taiwan University of Science and Technology, Tainan, Taiwan, Republic of China

    Chia-Wei Tsai

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  1. Jun Gu
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  2. Tzonelih Hwang
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  3. Chia-Wei Tsai
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Correspondence to Tzonelih Hwang.

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Gu, J., Hwang, T. & Tsai, CW. Improving the Security of ‘High-Capacity Quantum Summation with Single Photons in both Polarization and Spatial-Mode Degrees of Freedom’. Int J Theor Phys 58, 2213–2217 (2019). https://doi.org/10.1007/s10773-019-04110-x

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  • DOI: https://doi.org/10.1007/s10773-019-04110-x

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