Improving the security of ‘High-capacity quantum summation with single photons in both polarization and spatial-mode degrees of freedom’. (English) Zbl 1422.81075
Summary: In [ibid. 53, No. 3, 933–941 (2014; Zbl 1284.81079)], C. Zhang et al. 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.
MSC:
| 81P68 | Quantum computation |
| 81P94 | Quantum cryptography (quantum-theoretic aspects) |
| 94A60 | Cryptography |
| 65Y04 | Numerical algorithms for computer arithmetic, etc. |
Citations:
Zbl 1284.81079References:
| [1] | Jian-Zhong, D., Xiu-Bo, C., Qiao-Yan, W., Fu-Chen, Z.: Secure multiparty quantum summation. Acta Phys. Sin. 56, 11 (2007) |
| [2] | Chen, X.-B., Xu, G., Yang, Y.-X., Wen, Q.-Y.: An efficient protocol for the secure multi-party quantum summation. Int. J. Theor. Phys. 49(11), 2793-2804 (2010) · Zbl 1203.81047 · doi:10.1007/s10773-010-0472-5 |
| [3] | Zhang, C., Sun, Z., Huang, Y., Long, D.: High-capacity quantum summation with single photons in both polarization and spatial-mode degrees of freedom. Int. J. Theor. Phys. 53(3), 933-941 (2014) · Zbl 1284.81079 · doi:10.1007/s10773-013-1884-9 |
| [4] | Shi, R.-H., Mu, Y., Zhong, H., Cui, J., Zhang, S.: Secure multiparty quantum computation for summation and multiplication. Sci. Rep. 6, 19655 (2016) · doi:10.1038/srep19655 |
| [5] | Ayan Majumder, Santanu Mohapatra, and Anil Kumar, Experimental Realization of Secure Multiparty Quantum Summation Using Five-Qubit IBM Quantum Computer on Cloud. arXiv preprint arXiv:1707.07460, 2017 |
| [6] | Zhang, C., Sun, Z.-W., Huang, X., Long, D.-Y.: Three-party quantum summation without a trusted third party. Int. J. Quantum Information. 13(02), 1550011 (2015) · Zbl 1328.81076 · doi:10.1142/S0219749915500112 |
| [7] | Liu, W., Wang, Y.-B., Fan, W.-Q.: An novel protocol for the quantum secure multi-party summation based on two-particle bell states. Int. J. Theor. Phys. 56(9), 2783-2791 (2017) · Zbl 1379.81039 · doi:10.1007/s10773-017-3442-3 |
| [8] | Zhang, C., Situ, H., Huang, Q., Yang, P.: Multi-party quantum summation without a trusted third party based on single particles. Int. J. Quantum Information. 15(02), 1750010 (2017) · Zbl 1375.81079 · doi:10.1142/S0219749917500101 |
| [9] | Xin Tang, Gang Xu, Kun-Chang Li, Xiu-Bo Chen, and Yi-Xian Yang, Secure Multiparty Quantum Summation Based on d-Level Single Particles. in International Conference on Cloud Computing and Security, 2018, pp. 680-690: Springer |
| [10] | Shih-Min Hung, Sheng-Liang Hwang, Tzonelih Hwang, and Shih-hung Kao, multiparty quantum private comparison with almost dishonest third parties for strangers. Quantum Inf. Process, vol. 16, no. 2, p. 36, 2017 · Zbl 1383.81071 |
| [11] | Lo, H.-K., Ma, X., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94(23), 230504 (2005) · doi:10.1103/PhysRevLett.94.230504 |
| [12] | Lo, H.-K., Curty, M., Tamaki, K.: Secure quantum key distribution. Nat. Photonics. 8(8), 595-604 (2014) · doi:10.1038/nphoton.2014.149 |
| [13] | Bennett, C.H., Brassard, G., David Mermin, N.: Quantum cryptography without Bell’s theorem. Phys. Rev. Lett. 68(5), 557-559 (1992) · Zbl 0969.94500 · doi:10.1103/PhysRevLett.68.557 |
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