Abstract
The quantum privacy query protocol (QPQ) is faced with low query efficiency, transmission channel noise, and low transmission efficiency problems. The quantum-privacy query protocol proposed by us aims to achieve a better quantum-privacy block query effect and has the function of anti-rotation noise. To solve the collective rotation noise in the transmission channel, we propose a one-way QPQ protocol based on four particles. The four-particle states {\(\left| {\phi_{0} } \right\rangle\), \(\left| {\phi_{1} } \right\rangle\), \(\left| {\phi_{0} ^{\prime}} \right\rangle\), \(\left| {\phi_{1} ^{\prime}} \right\rangle\)} can be entangled by two Bell states {\(\left| {\Phi^{ + } } \right\rangle ,\left| {\Psi^{ - } } \right\rangle\)} with anti-noise properties. In general, the unidirectional quantum privacy query has more advantages than a bidirectional quantum privacy query. Besides, the post-processing scheme Yang et al. (Quantum Inf Process 15(9):38333840, 2016) can not only protect the parity result of the random key but also guarantee the security of the protocol. In the security analysis, we prove the security of the user and database.
Similar content being viewed by others
References
Jakobi, M., Simon, C., Gisin, N., et al.: Practical private database queries based on a quantum-key-distribution protocol. Phys. Rev. A 83(2), 22301–22306 (2011)
Chor, B., et al.: Private information retrieval. J. ACM 45, 965–981 (1998)
Olejnik, L.: Secure quantum private information retrieval using phase-encoded queries. Phys. Rev. A 84, 022313 (2011)
Gao, F., Liu, B., Wen, Q.Y., Chen, H.: Flexible quantum private queries based on quantum key distribution. Opt. Express 20(16), 17411 (2012)
Yang, Y.G., Sun, S.J., Xu, P., Tian, J.: Flexible protocol for quantum private query based on B92 protocol. Quantum Inf. Process. 13(3), 805–813 (2013)
Yang, Y.G., Zhang, M.O., Yang, R.: Private database queries using one quantum state. Quantum Inf. Process. 14(3), 1017–1024 (2014)
Gao, F., Liu, B., Huang, W., Wen, Q.Y.: Post-processing of the oblivious key in quantum private query. IEEE J. Sel. Top. Quantum Electron. 21(3), 98–108 (2015)
Liu, B., Gao, F., Huang, W., Wen, Q.Y.: QKD-based quantum private query without a failure probability. Sci. China Phys. Mech. Astron. 58 (10), (2015)
Sun, S.J., Yang, Y.G., Zhang, M.O.: Relativistic quantum private database queries. Quantum Inf. Process. 14(4), 1443–1450 (2015)
Shi, W.X., Liu, X., Wang, J., Tang, C.J.: Multi-bit quantum private query. Commun. Theor. Phys. 64(3), 299–304 (2015)
Shi, R.H., Mu, Y., Zhong, H., Zhuang, S.: Comment on “secure quantum private information retrieval using phase-encoded queries.” Phys. Rev. A 94, 066301 (2016)
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), (2016)
Xu, S.W., Sun, Y., Lin, S.: Quantum private query based on single-photon interference. Quantum Inf. Process. 15(8), 3301–3310 (2016)
Yang, Y.G., Liu, Z.C., Chen, X.B., Cao, W.-F., Zhou, Y.-H., Shi, W.-M.: Novel classical post-processing for quantum key distribution-based quantum private query. Quantum Inf. Process. 15(9), 3833–3840 (2016)
Yang, Y.G., Liu, Z.C., Li, J., et al.: Quantum private query with perfect user privacy against a joint-measurement attack. Phys. Lett. A 380(48), 4033–4038 (2016)
Chang, Y., Zhang, S. B., Zhu, J. M.: Comment on “flexible protocol for quantum private query based on B92 protocol”. Quantum Inf. Process. 16 (3), (2017)
Xu, M., Shi, R. H., Luo, Z. Y., Peng, Z. W.: Nearest private query based on quantum oblivious key distribution. Quantum Inf. Process. 16 (12), (2017)
Yang, Y.G., Yang, R., Cao, W.F., Chen, X.B., Zhou, Y.H., Shi, W.M.: Flexible quantum oblivious transfer. Int. J. Theor. Phys. 56(4), 1286–1297 (2017)
Gao, X., Chang, Y., Zhang, S.B., Yang, F., Zhang, Y.: Quantum private query based on bell state and single photons. Int. J. Theor. Phys. 57(7), 1983–1989 (2018)
Wei, C. Y., Cai, X. Q., Liu, B., Wang, T. Y., Gao, F.: A Generic Construction of Quantum-Oblivious-Key-Transfer-Based Private Query with Ideal Database Security and Zero Failure. IEEE Trans. Comput. 67 (1), (2018)
Chang, Y., Zhang, S.B., Wan, G.G., Yan, L.L., Zhang, Y., Li, X.Y.: Practical two-way QKD-based quantum private query with better performance in user privacy. Int. J. Theor. Phys. 58(7), 2069–2080 (2019)
Gao, F., Qin, S., Huang, W., Wen, Q. Y.: Quantum private query: A new kind of practical quantum cryptographic protocol. Sci. China Phys. Mech. Astron. 62 (7), (2019)
Liu, B., Gao, Z.F., Xiao, D., et al.: QKD-based quantum private query protocol in the single-photon interference communication system. IEEE Access 7, 104749–104758 (2019)
Wang, Y., Guo, F.Z., Liu, L., Huang, W., Wen, Q.Y.: A new protocol for quantum private query against joint-measurement attack. Int. J. Theor. Phys. 58(6), 1828–1835 (2019)
Xiao, H., Huang, W. H., Zhou, M.: An efficient quantum private query protocol based on oracle and grover iteration. Int. J. Theor. Phys. 58 (9), (2019)
Huang, W., Su, Q., Wu, X., Li, Y.B., Sun, Y.: Quantum key agreement against collective decoherence. Int. J. Theor. Phys. 53(9), 2891–2901 (2014)
Chang, Y., Zhang, S.B., Han, G.H., Sheng, Z.W., Yan, L.L., Xiong, J.X.: Quantum private query protocol based on two non-orthogonal states. Entropy 18(5), 163 (2020)
Wang, T.Y., Wang, S.Y., Ma, J.F.: Robust quantum private queries. Int. J. Theor. Phys. 55(7), 3309–3317 (2016)
Yang, Y. G., Liu, Z. C., Chen, X. B., Zhou, Y. H., Shi, W. M.: Robust QKD-based private database queries based on alternative sequences of single-qubit measurements. Sci. China Phys. Mech. Astron. 60 (12), (2017)
Chang, Y., Xiong, J.X., Gao, X., Zhang, S.B., Yan, L.L.: Quantum private query protocol based on EPR pairs. Chin. J. Electron. 27(2), 256–262 (2018)
Li, N., Li, J., Chen, X., Yang, Y.: Quantum private query with perfect performance universally applicable against collective-noise. IEEE Access 7, 29313–29319 (2019)
Zhao J.B., Zhang W.B., Ma Y.L., Zhang X.H., Ma H.Y.: Development of Quantum Private Queries Protocol on Collective-Dephasing Noise Channel. Applied Sciences. 10 (6), (2020)
Wei, C.Y., Gao, F., Wen, Q.Y., Wang, T.Y.: Practical quantum private query of blocks based on unbalanced-state Bennett-Brassard-1984 quantum-key-distribution protocol. Sci Rep. 4, 7537 (2014)
Pei T.R., Meng X.L., Wei C.Y., Gao F., Tian S.J., Deng Q.Y.: Practical quantum private query of blocks based on the two-dimensional QKD system. Quantum Information Processing. 18 (8), (2019)
Huang, W., Wen, Q.Y., Liu, B., Gao, F., Sun, Y.: Quantum key agreement with EPR pairs and single-particle measurements. Quantum Inf. Process. 13(3), 649–663 (2013)
Herzog U, Bergou JA: Optimum unambiguous discrimination of two mixed quantum states. Physical Review A. 71 (5), (2005)
Helstrom, C.W.: Quantum Detection and Estimation Theory. Academic, New York (2019)
Yan, L.L., Zhang, S.B., Chang, Y.: Measure-resend semi-quantum private comparison scheme using GHZ class states. CMC-computers materials & continua. 61(2), 877–887 (2019)
Sun, Y.H., Yan, L.L., Chang, Y.: Two semi-quantum secure direct communication protocols based on Bell states. Mod. Phys. Lett. A 34(1), 1950004 (2019)
Yan, L.L., Chang, Y., Zhang, S.B., Han, G.H., Sheng, Z.W.: A quantum multi-proxy weak blind signature scheme based on entanglement swapping. Int. J. Theor. Phys. 56(2), 634–642 (2017)
Yang, Y.-G., Sun, S.-J., Wang, Y.: Quantum oblivious transfer based on a quantum symmetrically private information retrieval protocol. Int .J Theor Phys. 54(3), 910–916 (2014)
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Nos. 62076042, 61572086), the Key Research and Development Project of Sichuan Province (Nos. 2020YFG0307, 2018TJPT0012), the Key Research and Development Project of Chengdu (No. 2019-YF05-02028-GX), the Innovation Team of Quantum Security Communication of Sichuan Province (No. 17TD0009), the Academic and Technical Leaders Training Funding Support Projects of Sichuan Province (No. 2016120080102643).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Liu, DM., Yan, LL., Xu, SH. et al. New flexible quantum private query protocol against rotation noise. Quantum Inf Process 20, 49 (2021). https://doi.org/10.1007/s11128-020-02983-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11128-020-02983-0