Phân tích bảo mật và cải tiến trong một so sánh riêng tư bán lượng tử không cần khóa chia sẻ trước

Bennett, C.H., Brassard, G.: In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing. IEEE, New York (1984) Gottesman, D.: Theory of quantum secret sharing. Phys. Rev. A 61(4), 042311 (2000) Grice, W.P., Qi, B.: Quantum secret sharing using weak coherent states. Phys. Rev. A 100(2), 022339 (2019) Wang, Y., Lou, X., Fan, Z., Wang, S., Huang, G.: Verifiable multi-dimensional (t,n) threshold quantum secret sharing based on quantum walk. Int. J. Theor. Phys. 61(2):1–17 (2022) Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85(26), 5635 (2000) Shor, P.W., Preskill, J.: Simple proof of security of the bb84 quantum key distribution protocol. Phys. Rev. Lett. 85(2), 441 (2000) Bai, D., Huang, P., Zhu, Y., Ma, H., Xiao, T., Wang, T., Zeng, G.: Unidimensional continuous-variable measurement-device-independent quantum key distribution. Quantum Inf. Process. 19(2), 1–21 (2020) Li, L., Li, J., Chang, Y., Yang, Y., Chen, X.: Quantum key distribution based on single-particle and EPR entanglement. Sci. China Inf. Sci. 63(6), 1–3 (2020) Wei, C.-Y., Wang, T.-Y., Gao, F.: Practical quantum private query with better performance in resisting joint-measurement attack. Phys. Rev. A 93(4), 042318 (2016) Maitra, A., Paul, G., Roy, S.: Device-independent quantum private query. Phys. Rev. A 95(4), 042344 (2017) Gao, F., Qin, S., Huang, W., Wen, Q.: Quantum private query: a new kind of practical quantum cryptographic protocol. Sci. China Phys. Mech. Astron. 62(7), 1–12 (2019) He, R., Ma, J.-G., Wu, J.: A quantum secure direct communication protocol using entangled beam pairs. Europhys. Lett. 127(5), 50006 (2019) Chang, Y., Xu, C., Zhang, S., Yan, L.: Quantum secure direct communication and authentication protocol with single photons. Chin. Sci. Bull. 58(36), 4571–4576 (2013) Cao, Z., Song, D., Chai, G., He, C., Zhao, G.: Quantum secure direct communication based on four-particle cluster state grouping. Chin. J. Phys. 60, 248–254 (2019) Gao, C.-Y., Guo, P.-L., Ren, B.-C.: Efficient quantum secure direct communication with complete bell-state measurement. Quantum Eng. 3(4), 83 (2021) Ramachandran, M., Balakrishnan, S.: Effect of noise in the quantum bidirectional direct communication protocol using non-maximally entangled states. Int. J. Theor. Phys. 61(5), 1–14 (2022) Wu, J., Long, G.-L., Hayashi, M.: Quantum secure direct communication with private dense coding using a general preshared quantum state. Phys. Rev. Appl. 17(6), 064011 (2022) Yang, Y.-G., Cao, W.-F., Wen, Q.-Y.: Secure quantum private comparison. Phys. Scr. 80(6), 065002 (2009) Yao, A.C.: Protocols for secure computations. In: 23rd Annual Symposium on Foundations of Computer Science (sfcs 1982), pp. 160–164 (1982). https://doi.org/10.1109/SFCS.1982.38 Ye, C.-Q., Ye, T.-Y.: Multi-party quantum private comparison of size relation with d-level single-particle states. Quantum Inf. Process. 17(10), 1–17 (2018) Wu, W., Zhao, Y.: Quantum private comparison of size using d-level bell states with a semi-honest third party. Quantum Inf. Process. 20(4), 1–18 (2021) Huang, S.-L., Hwang, T., Gope, P.: Multi-party quantum private comparison with an almost-dishonest third party. Quantum Inf. Process. 14(11), 4225–4235 (2015) Zi, W., Guo, F., Luo, Y., Cao, S., Wen, Q.: Quantum private comparison protocol with the random rotation. Int. J. Theor. Phys. 52(9), 3212–3219 (2013) Chang, Y.-J., Tsai, C.-W., Hwang, T.: Multi-user private comparison protocol using GHZ class states. Quantum Inf. Process. 12(2), 1077–1088 (2013) Ye, T.-Y.: Quantum private comparison via cavity QED. Commun. Theor. Phys. 67(2), 147 (2017) Chen, X.-B., Su, Y., Niu, X.-X., Yang, Y.-X.: Efficient and feasible quantum private comparison of equality against the collective amplitude damping noise. Quantum Inf. Process. 13(1), 101–112 (2014) Yang, Y.-G., Xia, J., Jia, X., Shi, L., Zhang, H.: New quantum private comparison protocol without entanglement. Int. J. Quantum Inf. 10(06), 1250065 (2012) Ji, Z.-X., Ye, T.-Y.: Quantum private comparison of equal information based on highly entangled six-qubit genuine state. Commun. Theor. Phys. 65(6), 711 (2016) Hung, S.-M., Hwang, S.-L., Hwang, T., Kao, S.-H.: Multiparty quantum private comparison with almost dishonest third parties for strangers. Quantum Inf. Process. 16(2), 1–12 (2017) Liu, B., Gao, F., Jia, H.-Y., Huang, W., Zhang, W.-W., Wen, Q.-Y.: Efficient quantum private comparison employing single photons and collective detection. Quantum Inf. Process. 12(2), 887–897 (2013) Tseng, H.-Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11(2), 373–384 (2012) Liu, W., Wang, Y.-B., Cui, W.: Quantum private comparison protocol based on bell entangled states. Commun. Theor. Phys. 57(4), 583 (2012) Liu, W.-J., Liu, C., Chen, H.-W., Li, Z.-Q., Liu, Z.-H.: Cryptanalysis and improvement of quantum private comparison protocol based on bell entangled states. Commun. Theor. Phys. 62(2), 210 (2014) Li, L., Shi, R.-H.: A novel and efficient quantum private comparison scheme. J. Korean Phys. Soc. 75, 15–21 (2019) Hou, M., Zhang, S., Xia, J.: Quantum gate-based quantum private comparison protocol using four-particle GHZ states. In: Advances in Artificial Intelligence and Security: 8th International Conference on Artificial Intelligence and Security, ICAIS 2022, Qinghai, China, July 15–20, 2022, Proceedings, Part III, pp. 274–282. Springer (2022) Chen, F.-L., Zhang, H., Chen, S.-G., Cheng, W.-T.: Novel two-party quantum private comparison via quantum walks on circle. Quantum Inf. Process. 20(5), 178 (2021) Boyer, M., Kenigsberg, D., Mor, T.: Quantum key distribution with classical bob. In: 2007 First International Conference on Quantum, Nano, and Micro Technologies (ICQNM’07), pp. 10–10. IEEE (2007) Chou, W.-H., Hwang, T., Gu, J.: Semi-quantum private comparison protocol under an almost-dishonest third party. arXiv preprint arXiv:1607.07961 (2016) Yan-Feng, L.: Semi-quantum private comparison using single photons. Int. J. Theor. Phys. 57(10), 3048–3055 (2018) Lin, P.-H., Hwang, T., Tsai, C.-W.: Efficient semi-quantum private comparison using single photons. Quantum Inf. Process. 18(7), 1–14 (2019) Kou, T.-Y., Che, B.-C., Dou, Z., Chen, X.-B., Lai, Y.-P., Li, J.: Efficient quantum private comparison protocol utilizing single photons and rotational encryption. Chin. Phys. B 31(6), 060307 (2022) Sun, Z.: Improvement of measure-resend semi-quantum private comparison scheme using GHZ states. Int. J. Theor. Phys. 61(3), 1–7 (2022) Yan, L., Chang, Y., Zhang, S., Wang, Q., Sheng, Z., Sun, Y.: Measure-resend semi-quantum private comparison scheme using GHZ class states. Comput. Mater. Contin. 61(2), 877–887 (2019) Gianni, J., Qu, Z.: New quantum private comparison using hyperentangled GHZ state. J. Quantum Comput. 3(2), 45 (2021) Xie, L., Li, Q., Yu, F., Lou, X., Zhang, C.: Cryptanalysis and improvement of a semi-quantum private comparison protocol based on bell states. Quantum Inf. Process. 20(7), 1–16 (2021) Sun, Y., Yan, L., Sun, Z., Zhang, S., Lu, J.: A novel semi-quantum private comparison scheme using bell entangle states. Comput. Mater. Contin. 66(3), 2385–2395 (2021) Jiang, L.-Z.: Semi-quantum private comparison based on bell states. Quantum Inf. Process. 19(6), 1–21 (2020) Thapliyal, K., Sharma, R.D., Pathak, A.: Orthogonal-state-based and semi-quantum protocols for quantum private comparison in noisy environment. Int. J. Quantum Inf. 16(05), 1850047 (2018) Fan, P., Rahman, A.U., Ji, Z., Ji, X., Hao, Z., Zhang, H.: Two-party quantum private comparison based on eight-qubit entangled state. Mod. Phys. Lett. A 37(05), 2250026 (2022) Ye, T.-Y., Ye, C.-Q.: Measure-resend semi-quantum private comparison without entanglement. Int. J. Theor. Phys. 57(12), 3819–3834 (2018) Yan, L., Zhang, S., Chang, Y., Wan, G., Yang, F.: Semi-quantum private comparison protocol with three-particle g-like states. Quantum Inf. Process. 20(1), 1–16 (2021) Li, Q., Li, P., Xie, L., Chen, L., Quan, J.: Security analysis and improvement of a semi-quantum private comparison protocol with three-particle g-like states. Quantum Inf. Process. 21(4), 1–18 (2022) Li, Z., Liu, T., Zhu, H.: Private comparison protocol for multiple semi-quantum users based on bell states. Int. J. Theor. Phys. 61(6), 1–12 (2022) Wang, B., Liu, S.-Q., Gong, L.-H.: Semi-quantum private comparison protocol of size relation with d-dimensional GHZ states. Chin. Phys. B 31(1), 010302 (2022) Zhou, N.-R., Xu, Q.-D., Du, N.-S., Gong, L.-H.: Semi-quantum private comparison protocol of size relation with d-dimensional bell states. Quantum Inf. Process. 20(3), 1–15 (2021) Geng, M.-J., Xu, T.-J., Chen, Y., Ye, T.-Y.: Semiquantum private comparison of size relationship based on d-level single-particle states. arXiv preprint arXiv:2201.04787 (2022) Li, Y.-C., Chen, Z.-Y., Xu, Q.-D., Gong, L.-H.: Two semi-quantum private comparison protocols of size relation based on single particles. Int. J. Theor. Phys. 61(6), 1–14 (2022) Tian, Y., Li, J., Chen, X.-B., Ye, C.-Q., Li, C.-Y., Hou, Y.-Y.: An efficient semi-quantum private comparison without pre-shared keys. Quantum Inf. Process. 20(11), 1–13 (2021) Deng, F.-G., Zhou, P., Li, X.-H., Li, C.-Y., Zhou, H.-Y.: Robustness of two-way quantum communication protocols against trojan horse attack. arXiv preprint arXiv:quant-ph/0508168 (2005)