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Erschienen in: Quantum Information Processing 4/2021

01.04.2021

Quantum private comparison of size using d-level Bell states with a semi-honest third party

verfasst von: WanQing Wu, YongXin Zhao

Erschienen in: Quantum Information Processing | Ausgabe 4/2021

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Abstract

In this paper, we propose a quantum private comparison \((\mathrm{QPC})\) protocol based on Bell states. The presented protocol can determine not only whether two secrets are equal, but also the size relationship between them. The proposed protocol can secretly compare information of the two participants with the help of a third party \((\mathrm{TP})\). The proposed protocol has adopted quantum transmission strategy and the decoy state photons to prevent various types of Eve attacks and participant attacks. It is shown that the protocol is secure in theory.

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Literatur
1.
Zurück zum Zitat Wang, Q., Li, Y., Yu, C., et al.: Quantum anonymous ranking and selection with verifiability. Quantum Inf. Process. 19(5), 166 (2020)ADSMathSciNetCrossRef Wang, Q., Li, Y., Yu, C., et al.: Quantum anonymous ranking and selection with verifiability. Quantum Inf. Process. 19(5), 166 (2020)ADSMathSciNetCrossRef
2.
Zurück zum Zitat Lin, S., Guo, G.D., Huang, F., et al.: Quantum anonymous ranking based on the Chinese remainder theorem. Phys. Rev. A 93(1), 012318 (2016)ADSCrossRef Lin, S., Guo, G.D., Huang, F., et al.: Quantum anonymous ranking based on the Chinese remainder theorem. Phys. Rev. A 93(1), 012318 (2016)ADSCrossRef
3.
Zurück zum Zitat Wu, W.Q., Cai, Q.Y., Zhang, H.G., et al.: Quantum public key cryptosystem based on Bell states. Int. J. Theor. Phys. 56(11), 3431–3440 (2017)MathSciNetCrossRef Wu, W.Q., Cai, Q.Y., Zhang, H.G., et al.: Quantum public key cryptosystem based on Bell states. Int. J. Theor. Phys. 56(11), 3431–3440 (2017)MathSciNetCrossRef
4.
Zurück zum Zitat Wu, W.Q., Cai, Q.Y., Zhang, H.G., et al.: Bit-oriented quantum public-key cryptosystem based on Bell states. Int. J. Theor. Phys. 57(12), 1–11 (2018)MathSciNetMATH Wu, W.Q., Cai, Q.Y., Zhang, H.G., et al.: Bit-oriented quantum public-key cryptosystem based on Bell states. Int. J. Theor. Phys. 57(12), 1–11 (2018)MathSciNetMATH
5.
Zurück zum Zitat Wu, W.Q., Zhou, G.L., Zhao, Y.X., et al.: New quantum private comparison protocol without a third party. Int. J. Theor. Phys. 59(6), 1866–1875 (2020)MathSciNetCrossRef Wu, W.Q., Zhou, G.L., Zhao, Y.X., et al.: New quantum private comparison protocol without a third party. Int. J. Theor. Phys. 59(6), 1866–1875 (2020)MathSciNetCrossRef
6.
Zurück zum Zitat 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)ADSCrossRef 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)ADSCrossRef
7.
Zurück zum Zitat Yang, Y.G., Cao, W.F., Wen, Q.Y.: Secure quantum private comparison. Phys. Scr. 80(6), 065002 (2009)ADSCrossRef Yang, Y.G., Cao, W.F., Wen, Q.Y.: Secure quantum private comparison. Phys. Scr. 80(6), 065002 (2009)ADSCrossRef
8.
Zurück zum Zitat Ye, T.Y., Ji, Z.X.: Two-party quantum private comparison with five-qubit entangled states. Int. J. Theor. Phys. 56(5), 1517–1529 (2017)MathSciNetCrossRef Ye, T.Y., Ji, Z.X.: Two-party quantum private comparison with five-qubit entangled states. Int. J. Theor. Phys. 56(5), 1517–1529 (2017)MathSciNetCrossRef
9.
Zurück zum Zitat Pan, H.M.: Quantum private comparison based on \(\chi \)-type entangled states. Int. J. Theor. Phys. 56(10), 3340–3347 (2017)MathSciNet Pan, H.M.: Quantum private comparison based on \(\chi \)-type entangled states. Int. J. Theor. Phys. 56(10), 3340–3347 (2017)MathSciNet
10.
Zurück zum Zitat Ji, Z.X., Ye, T.Y.: Multi-party quantum private comparison based on the entanglement swapping of d-level cat states and d-level Bell states. Quantum Inf. Process. 16(7), 177 (2017)ADSMathSciNetCrossRef Ji, Z.X., Ye, T.Y.: Multi-party quantum private comparison based on the entanglement swapping of d-level cat states and d-level Bell states. Quantum Inf. Process. 16(7), 177 (2017)ADSMathSciNetCrossRef
11.
Zurück zum Zitat Xu, L., Zhao, Z.: A robust and efficient quantum private comparison of equality based on the entangled swapping of GHZ-like state and \(\chi ^{+}\) state. Int. J. Theor. Phys. 56(8), 2671–2685 (2017) Xu, L., Zhao, Z.: A robust and efficient quantum private comparison of equality based on the entangled swapping of GHZ-like state and \(\chi ^{+}\) state. Int. J. Theor. Phys. 56(8), 2671–2685 (2017)
12.
Zurück zum Zitat Xu, L., Zhao, Z.: Quantum private comparison protocol based on the entanglement swapping between \((\chi ^{+})\) state and W-Class state. Quantum Inf. Process. 16(12), 302 (2017)ADSMathSciNet Xu, L., Zhao, Z.: Quantum private comparison protocol based on the entanglement swapping between \((\chi ^{+})\) state and W-Class state. Quantum Inf. Process. 16(12), 302 (2017)ADSMathSciNet
13.
Zurück zum Zitat Zhou, M.K.: Improvements of quantum private comparison protocol based on cluster states. Int. J. Theor. Phys. 2, 1–6 (2017) Zhou, M.K.: Improvements of quantum private comparison protocol based on cluster states. Int. J. Theor. Phys. 2, 1–6 (2017)
14.
Zurück zum Zitat Wu, W.Q., Cai, Q.Y., Wu, S.M., et al.: Cryptanalysis and improvement of Ye et al’s quantum private comparison protocol. Int. J. Theor. Phys. 58, 1854–1860 (2019)MathSciNetCrossRef Wu, W.Q., Cai, Q.Y., Wu, S.M., et al.: Cryptanalysis and improvement of Ye et al’s quantum private comparison protocol. Int. J. Theor. Phys. 58, 1854–1860 (2019)MathSciNetCrossRef
15.
Zurück zum Zitat Hung, S.M., Hwang, S.L., Hwang, T., et al.: Multiparty quantum private comparison with almost dishonest third parties for strangers. Quantum Inf. Process. 16(2), 36 (2017)ADSMathSciNetCrossRef Hung, S.M., Hwang, S.L., Hwang, T., et al.: Multiparty quantum private comparison with almost dishonest third parties for strangers. Quantum Inf. Process. 16(2), 36 (2017)ADSMathSciNetCrossRef
16.
Zurück zum Zitat Wu, W.Q., Cai, Q.Y., Wu, S.M., et al.: Cryptanalysis of He’s quantum private comparison protocol and a new protocol. Int. J. Quantum Inf. 17(3), 1950026 (2019)MathSciNetCrossRef Wu, W.Q., Cai, Q.Y., Wu, S.M., et al.: Cryptanalysis of He’s quantum private comparison protocol and a new protocol. Int. J. Quantum Inf. 17(3), 1950026 (2019)MathSciNetCrossRef
17.
Zurück zum Zitat Jia, H.Y., Wen, Q.Y., Song, T.T., et al.: Quantum protocol for millionaire problem. Opt. Commun. 284(1), 545–549 (2011)ADSCrossRef Jia, H.Y., Wen, Q.Y., Song, T.T., et al.: Quantum protocol for millionaire problem. Opt. Commun. 284(1), 545–549 (2011)ADSCrossRef
18.
Zurück zum Zitat Wu, W.Q., Zhang, H.G.: A quantum query algorithm for computing the degree of a perfect nonlinear Boolean function. Quantum Inf. Process. 18(3), 62 (2019)ADSMathSciNetCrossRef Wu, W.Q., Zhang, H.G.: A quantum query algorithm for computing the degree of a perfect nonlinear Boolean function. Quantum Inf. Process. 18(3), 62 (2019)ADSMathSciNetCrossRef
19.
Zurück zum Zitat Wu, W.Q., Ma, X.X.: Quantum private comparison protocol without a third party. Int. J. Theor. Phys. 59(6), 1854–1865 (2020)MathSciNetCrossRef Wu, W.Q., Ma, X.X.: Quantum private comparison protocol without a third party. Int. J. Theor. Phys. 59(6), 1854–1865 (2020)MathSciNetCrossRef
20.
Zurück zum Zitat Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, pp. 175–179 (1984) Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, pp. 175–179 (1984)
21.
Zurück zum Zitat Wang, T.Y., Wen, Q.Y., Zhu, F.C.: Cryptanalysis of multiparty quantum secret sharing with Bell states and Bell measurements. Opt. Commun. 284(6), 1711–1713 (2011)ADSCrossRef Wang, T.Y., Wen, Q.Y., Zhu, F.C.: Cryptanalysis of multiparty quantum secret sharing with Bell states and Bell measurements. Opt. Commun. 284(6), 1711–1713 (2011)ADSCrossRef
22.
Zurück zum Zitat Tseng, H.Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11(2), 373–384 (2012)MathSciNetCrossRef Tseng, H.Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11(2), 373–384 (2012)MathSciNetCrossRef
23.
Zurück zum Zitat Lin, S., Sun, Y., Liu, X.F., et al.: Quantum private comparison protocol with d-dimensional Bell states. Quantum Inf. Process. 12(1), 559–568 (2013)ADSMathSciNetCrossRef Lin, S., Sun, Y., Liu, X.F., et al.: Quantum private comparison protocol with d-dimensional Bell states. Quantum Inf. Process. 12(1), 559–568 (2013)ADSMathSciNetCrossRef
24.
Zurück zum Zitat Guo, F.Z., Gao, F., Qin, S.J., et al.: Quantum private comparison protocol based on entanglement swapping of (d)-level Bell states. Quantum Inf. Process. 12(8), 2793–2802 (2013)ADSMathSciNetCrossRef Guo, F.Z., Gao, F., Qin, S.J., et al.: Quantum private comparison protocol based on entanglement swapping of (d)-level Bell states. Quantum Inf. Process. 12(8), 2793–2802 (2013)ADSMathSciNetCrossRef
25.
Zurück zum Zitat Yu, C.H., Guo, G.D., Lin, S.: Quantum private comparison with d-level single-particle states. Phys. Scr. 88(6), 065013 (2013)ADSCrossRef Yu, C.H., Guo, G.D., Lin, S.: Quantum private comparison with d-level single-particle states. Phys. Scr. 88(6), 065013 (2013)ADSCrossRef
26.
Zurück zum Zitat Luo, Q.B., Yang, G.W., She, K., et al.: Multi-party quantum private comparison protocol based on d-dimensional entangled states. Quantum Inf. Process. 13(10), 2343–2352 (2014)ADSMathSciNetCrossRef Luo, Q.B., Yang, G.W., She, K., et al.: Multi-party quantum private comparison protocol based on d-dimensional entangled states. Quantum Inf. Process. 13(10), 2343–2352 (2014)ADSMathSciNetCrossRef
27.
Zurück zum Zitat Huang, S., Hwang, T., Gope, P.: Multi-party quantum private comparison with an almost-dishonest third party. Quantum Inf. Process. 14, 4225–4235 (2015)ADSMathSciNetCrossRef Huang, S., Hwang, T., Gope, P.: Multi-party quantum private comparison with an almost-dishonest third party. Quantum Inf. Process. 14, 4225–4235 (2015)ADSMathSciNetCrossRef
28.
Zurück zum Zitat 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), 252 (2018)ADSCrossRef 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), 252 (2018)ADSCrossRef
29.
Zurück zum Zitat Song, X.L., Wen, A.J., Gou, R.: Multiparty quantum private comparison of size relation based on single-particle states. IEEE Access 7, 142507–142514 (2019)CrossRef Song, X.L., Wen, A.J., Gou, R.: Multiparty quantum private comparison of size relation based on single-particle states. IEEE Access 7, 142507–142514 (2019)CrossRef
30.
Zurück zum Zitat Cao, H., Ma, W.P., Lv, L.D., et al.: Multi-party quantum privacy comparison of size based on d-level GHZ states. Quantum Inf. Process. 18, 287 (2019)ADSMathSciNetCrossRef Cao, H., Ma, W.P., Lv, L.D., et al.: Multi-party quantum privacy comparison of size based on d-level GHZ states. Quantum Inf. Process. 18, 287 (2019)ADSMathSciNetCrossRef
Metadaten
Titel
Quantum private comparison of size using d-level Bell states with a semi-honest third party
verfasst von
WanQing Wu
YongXin Zhao
Publikationsdatum
01.04.2021
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 4/2021
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-021-03059-3

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