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Published in: Quantum Information Processing 3/2021

01-03-2021

Semi-quantum private comparison protocol of size relation with d-dimensional Bell states

Authors: Nan-Run Zhou, Qiang-Da Xu, Ni-Suo Du, Li-Hua Gong

Published in: Quantum Information Processing | Issue 3/2021

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Abstract

Based on \(d\)-dimensional Bell states, a new semi-quantum private comparison protocol is designed under the assistance of a semi-honest third party. Compared with the existing semi-quantum private comparison protocols, the presented semi-quantum private comparison protocol could compare the size relation between two classical participants’ secrets in one-time execution without divulging their secrets. This could reduce the consumption of quantum resources and raise the efficiency of the proposed semi-quantum private comparison protocol. The correctness of the suggested protocol is validated and further supported by giving some examples. The performance of this protocol against external attacks and internal attacks has also been analyzed.

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Literature
1.
go back to reference Yang, Y.G., Wen, Q.Y.: An efficient two-party quantum private comparison protocol with decoy photons and two-photon entanglement. J. Phys. A Math. Theor. 42, 055305 (2009)ADSMathSciNetCrossRef Yang, Y.G., Wen, Q.Y.: An efficient two-party quantum private comparison protocol with decoy photons and two-photon entanglement. J. Phys. A Math. Theor. 42, 055305 (2009)ADSMathSciNetCrossRef
2.
go back to reference Chen, X.B., Xu, G., Niu, X.X., Wen, Q.Y., Yang, Y.X.: An efficient protocol for the private comparison of equal information based on the triplet entangled state and single-particle measurement. Opt. Commun. 283, 1561–1565 (2010)ADSCrossRef Chen, X.B., Xu, G., Niu, X.X., Wen, Q.Y., Yang, Y.X.: An efficient protocol for the private comparison of equal information based on the triplet entangled state and single-particle measurement. Opt. Commun. 283, 1561–1565 (2010)ADSCrossRef
3.
go back to reference Lin, J., Tseng, H.Y., Hwang, T.: Intercept-resend attacks on Chen et al.’s quantum private comparison protocol and the improvements. Opt. Commun. 284, 2412–2414 (2011)ADSCrossRef Lin, J., Tseng, H.Y., Hwang, T.: Intercept-resend attacks on Chen et al.’s quantum private comparison protocol and the improvements. Opt. Commun. 284, 2412–2414 (2011)ADSCrossRef
4.
go back to reference Tseng, H.Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11, 373–384 (2012)MathSciNetCrossRef Tseng, H.Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11, 373–384 (2012)MathSciNetCrossRef
5.
go back to reference Yang, Y.G., Xia, J., Jia, X., Zhang, H.: Comment on quantum private comparison protocols with a semi-honest third party. Quantum Inf. Process. 12, 877–885 (2013)ADSMathSciNetCrossRef Yang, Y.G., Xia, J., Jia, X., Zhang, H.: Comment on quantum private comparison protocols with a semi-honest third party. Quantum Inf. Process. 12, 877–885 (2013)ADSMathSciNetCrossRef
6.
go back to reference Li, J., Zhou, H.F., Jia, L., Zhang, T.T.: An efficient protocol for the private comparison of equal information based on four-particle entangled W state and Bell entangled states swapping. Int. J. Theor. Phys. 53, 2167–2176 (2014)MathSciNetCrossRef Li, J., Zhou, H.F., Jia, L., Zhang, T.T.: An efficient protocol for the private comparison of equal information based on four-particle entangled W state and Bell entangled states swapping. Int. J. Theor. Phys. 53, 2167–2176 (2014)MathSciNetCrossRef
7.
go back to reference Xu, L., Zhao, Z.W.: Quantum private comparison protocol based on the entanglement swapping between χ+ state and W-class state. Quantum Inf. Process. 16, 302 (2017)ADSMathSciNetCrossRef Xu, L., Zhao, Z.W.: Quantum private comparison protocol based on the entanglement swapping between χ+ state and W-class state. Quantum Inf. Process. 16, 302 (2017)ADSMathSciNetCrossRef
8.
go back to reference Chang, Y., Zhang, W.B., Zhang, S.B., Wang, H.C., Yan, L.L., Han, G.H., Sheng, Z.W., Huang, Y.Y., Suo, W., Xiong, J.X.: Quantum private comparison of equality based on five-particle cluster state. Commun. Theor. Phys. 66, 621–628 (2016)ADSCrossRef Chang, Y., Zhang, W.B., Zhang, S.B., Wang, H.C., Yan, L.L., Han, G.H., Sheng, Z.W., Huang, Y.Y., Suo, W., Xiong, J.X.: Quantum private comparison of equality based on five-particle cluster state. Commun. Theor. Phys. 66, 621–628 (2016)ADSCrossRef
9.
go back to reference Zha, X.W., Yu, X.Y., Cao, Y., Wang, S.K.: Quantum private comparison protocol with five-particle cluster states. Int. J. Theor. Phys. 57, 3874–3881 (2018)CrossRef Zha, X.W., Yu, X.Y., Cao, Y., Wang, S.K.: Quantum private comparison protocol with five-particle cluster states. Int. J. Theor. Phys. 57, 3874–3881 (2018)CrossRef
10.
go back to reference Ji, Z.X., Zhang, H.G., Fan, P.R.: Two-party quantum private comparison protocol with maximally entangled seven-qubit state. Mod. Phys. Lett. A 34, 1950229 (2019)ADSMathSciNetCrossRef Ji, Z.X., Zhang, H.G., Fan, P.R.: Two-party quantum private comparison protocol with maximally entangled seven-qubit state. Mod. Phys. Lett. A 34, 1950229 (2019)ADSMathSciNetCrossRef
12.
go back to reference Ji, Z.X., Fan, P.R., Zhang, H.G., Wang, H.Z.: Greenberger-Horne-Zeilinger-based quantum private comparison protocol with bit-flipping. Phys. Scripta 96, 015103 (2021)ADSCrossRef Ji, Z.X., Fan, P.R., Zhang, H.G., Wang, H.Z.: Greenberger-Horne-Zeilinger-based quantum private comparison protocol with bit-flipping. Phys. Scripta 96, 015103 (2021)ADSCrossRef
13.
go back to reference Jia, H.Y., Wen, Q.Y., Song, T.T., Gao, F.: Quantum protocol for millionaire problem. Opt. Commun. 284, 545–549 (2011)ADSCrossRef Jia, H.Y., Wen, Q.Y., Song, T.T., Gao, F.: Quantum protocol for millionaire problem. Opt. Commun. 284, 545–549 (2011)ADSCrossRef
14.
go back to reference Lin, S., Sun, Y., Liu, X.F., Yao, Z.Q.: Quantum private comparison protocol with d-dimensional Bell states. Quantum Inf. Process. 12, 559–568 (2013)ADSMathSciNetCrossRef Lin, S., Sun, Y., Liu, X.F., Yao, Z.Q.: Quantum private comparison protocol with d-dimensional Bell states. Quantum Inf. Process. 12, 559–568 (2013)ADSMathSciNetCrossRef
15.
go back to reference Luo, Q.B., Yang, G.W., She, K., Niu, W.N., Wang, Y.Q.: Multi-party quantum private comparison protocol based on d-dimensional entangled states. Quantum Inf. Process. 13, 2343–2352 (2014)ADSMathSciNetCrossRef Luo, Q.B., Yang, G.W., She, K., Niu, W.N., Wang, Y.Q.: Multi-party quantum private comparison protocol based on d-dimensional entangled states. Quantum Inf. Process. 13, 2343–2352 (2014)ADSMathSciNetCrossRef
16.
go back to reference Huang, S.L., 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.L., Hwang, T., Gope, P.: Multi-party quantum private comparison with an almost-dishonest third party. Quantum Inf. Process. 14, 4225–4235 (2015)ADSMathSciNetCrossRef
17.
go back to reference Ye, C.Q., Ye, T.Y.: Multi-party quantum private comparison of size relation with d-level single-particle states. Quantum Inf. Process. 17, 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, 252 (2018)ADSCrossRef
18.
go back to reference Liu, W., Wang, Y.B., Sui, A.N., Ma, M.Y.: Quantum protocol for millionaire problem. Int. J. Theor. Phys. 58, 2106–2114 (2019)MathSciNetCrossRef Liu, W., Wang, Y.B., Sui, A.N., Ma, M.Y.: Quantum protocol for millionaire problem. Int. J. Theor. Phys. 58, 2106–2114 (2019)MathSciNetCrossRef
19.
go back to reference Cao, H., Ma, W.P., Lu, L.D., He, Y.F., Liu, G.: 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., Lu, L.D., He, Y.F., Liu, G.: Multi-party quantum privacy comparison of size based on d-level GHZ states. Quantum Inf. Process. 18, 287 (2019)ADSMathSciNetCrossRef
20.
21.
go back to reference Xiang, Y., Liu, J., Bai, M.Q., Yang, X., Mo, Z.W.: Limited resource semi-quantum secret sharing based on multi-level systems. Int. J. Theor. Phys. 58, 3852–3862 (2019)MathSciNetCrossRef Xiang, Y., Liu, J., Bai, M.Q., Yang, X., Mo, Z.W.: Limited resource semi-quantum secret sharing based on multi-level systems. Int. J. Theor. Phys. 58, 3852–3862 (2019)MathSciNetCrossRef
22.
go back to reference Yan, L.L., Zhang, S.B., Chang, Y., Sheng, Z.W., Sun, Y.H.: Semi-quantum key agreement and private comparison protocols using Bell states. Int. J. Theor. Phys. 58, 3852–3862 (2019)MathSciNetCrossRef Yan, L.L., Zhang, S.B., Chang, Y., Sheng, Z.W., Sun, Y.H.: Semi-quantum key agreement and private comparison protocols using Bell states. Int. J. Theor. Phys. 58, 3852–3862 (2019)MathSciNetCrossRef
23.
go back to reference Zhou, N.R., Zhu, K.N., Wang, Y.Q.: Three-party semi-quantum key agreement protocol. Int. J. Theor. Phys. 59, 663–676 (2020)MathSciNetCrossRef Zhou, N.R., Zhu, K.N., Wang, Y.Q.: Three-party semi-quantum key agreement protocol. Int. J. Theor. Phys. 59, 663–676 (2020)MathSciNetCrossRef
25.
go back to reference 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, 1850047 (2018)MathSciNetCrossRef 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, 1850047 (2018)MathSciNetCrossRef
26.
27.
go back to reference Ye, T.Y., Ye, C.Q.: Measure-resend semi-quantum private comparison without entanglement. Int. J. Theor. Phys. 57, 3819–3834 (2018)MathSciNetCrossRef Ye, T.Y., Ye, C.Q.: Measure-resend semi-quantum private comparison without entanglement. Int. J. Theor. Phys. 57, 3819–3834 (2018)MathSciNetCrossRef
28.
go back to reference Lin, P.H., Hwang, T., Tsai, C.W.: Efficient semi-quantum private comparison using single photons. Quantum Inf. Process. 18, 207 (2019)ADSMathSciNetCrossRef Lin, P.H., Hwang, T., Tsai, C.W.: Efficient semi-quantum private comparison using single photons. Quantum Inf. Process. 18, 207 (2019)ADSMathSciNetCrossRef
29.
go back to reference Yan, L.L., Chang, Y., Zhang, S.B., Wang, Q.R., Sheng, Z.W., Sun, Y.H.: Measure-resend semi-quantum private comparison scheme using GHZ class states. Comput. Mater. Contin. 61, 877–887 (2019)CrossRef Yan, L.L., Chang, Y., Zhang, S.B., Wang, Q.R., Sheng, Z.W., Sun, Y.H.: Measure-resend semi-quantum private comparison scheme using GHZ class states. Comput. Mater. Contin. 61, 877–887 (2019)CrossRef
31.
go back to reference Liu, Z.H., Chen, H.W., Xu, J., Liu, W.J., Li, Z.Q.: High-dimensional deterministic multiparty quantum secret sharing without unitary operations. Quantum Inf. Process. 11, 1785–1795 (2013)ADSMathSciNetCrossRef Liu, Z.H., Chen, H.W., Xu, J., Liu, W.J., Li, Z.Q.: High-dimensional deterministic multiparty quantum secret sharing without unitary operations. Quantum Inf. Process. 11, 1785–1795 (2013)ADSMathSciNetCrossRef
32.
go back to reference Ding, Y.H., Bacco, D., Dalgaard, K., Cai, X.L., Zhou, X.Q., Rottwitt, K., Oxenlowe, L.K.: High-dimensional quantum key distribution based on multicore fiber using silicon photonic integrated circuits. NPJ Quantum Inf. 3, 25 (2017)ADSCrossRef Ding, Y.H., Bacco, D., Dalgaard, K., Cai, X.L., Zhou, X.Q., Rottwitt, K., Oxenlowe, L.K.: High-dimensional quantum key distribution based on multicore fiber using silicon photonic integrated circuits. NPJ Quantum Inf. 3, 25 (2017)ADSCrossRef
33.
go back to reference Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: A simple participant attack on the Bradler-Dusek protocol. Quantum Inf. Comput. 7, 329–334 (2007)MathSciNetMATH Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: A simple participant attack on the Bradler-Dusek protocol. Quantum Inf. Comput. 7, 329–334 (2007)MathSciNetMATH
34.
go back to reference Hu, X.M., Xing, W.B., Liu, B.H., Huang, Y.F., Li, C.F., Guo, G.C., Erker, P., Huber, M.: Efficient generation of high-dimensional entanglement through multipath down-conversion. Phys. Rev. Lett. 125, 090503 (2020)ADSCrossRef Hu, X.M., Xing, W.B., Liu, B.H., Huang, Y.F., Li, C.F., Guo, G.C., Erker, P., Huber, M.: Efficient generation of high-dimensional entanglement through multipath down-conversion. Phys. Rev. Lett. 125, 090503 (2020)ADSCrossRef
35.
go back to reference Shi, Z.M., Mirhosseini, M., Margiewicz, J., Malik, M., Rivera, F., Zhu, Z.Y., Boyd, R.W.: Scan-free direct measurement of an extremely high-dimensional photonic state. Optica 2, 388–392 (2015)ADSCrossRef Shi, Z.M., Mirhosseini, M., Margiewicz, J., Malik, M., Rivera, F., Zhu, Z.Y., Boyd, R.W.: Scan-free direct measurement of an extremely high-dimensional photonic state. Optica 2, 388–392 (2015)ADSCrossRef
36.
go back to reference Lu, H., Cai, Q.Y.: Quantum key distribution with classical Alice. Int. J. Quantum Inf. 6, 1195–1202 (2008)CrossRef Lu, H., Cai, Q.Y.: Quantum key distribution with classical Alice. Int. J. Quantum Inf. 6, 1195–1202 (2008)CrossRef
37.
Metadata
Title
Semi-quantum private comparison protocol of size relation with d-dimensional Bell states
Authors
Nan-Run Zhou
Qiang-Da Xu
Ni-Suo Du
Li-Hua Gong
Publication date
01-03-2021
Publisher
Springer US
Published in
Quantum Information Processing / Issue 3/2021
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-021-03056-6

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