Abstract
There are usually two kinds of signals i.e. quantum and classical to process in lots of existing protocols of quantum private comparison (QPC), for they employ quantum technology and classical computation to implement security and comparison, respectively. Classical operations and their information are prone to classical attacks with insufficient security. Therefore, a protocol of quantum gate-based QPC has been proposed without classical operations, but it is only applicable for qubits of computational basis. For its application to diagonal basis, this paper uses quantum gates and GHZ states to propose a new QPC protocol without classical data to process. There being no classical computation could lead to the improvement of security. The presented protocol is not only simple and efficient but also broadening applicable occasions. The analyses indicate its correctness and security.
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Yang, Y.G., Gao, W.F., Wen, Q.Y.: Secure quantum private comparison. Phys. Scr. 80(6), 065002 (2009)
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)
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)
Sun, Z.W., Yu, J.P., Wang, P., Xu, L.L., Wu, C.H.: Quantum private comparison with a malicious third party. Quantum Inf. Process. 14(6), 2125–2133 (2015)
Lang, Y.-F.: Semi-quantum private comparison using single photons. Int. J. Theor. Phys. 57(10), 3048–3055 (2018)
Ye, T.-Y., Ye, C.-Q.: Measure-resend semi-quantum private comparison without entanglement. Int. J. Theor. Phys. 57(12), 3819–3834 (2018)
Yang, Y.G., Xia, J., Jia, X., Shi, L., Zhang, H.: New quantum private comparison protocol without entanglement. Int. J. Quant. Inform. 10(6), 1250065 (2012)
Ye, T.Y.: Quantum private comparison via cavity QED. Commun. Theor. Phys. 67(2), 147–156 (2017)
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(5), 055305 (2009)
Liu, W., Wang, Y.B., Cui, W.: Quantum private comparison protocol based on bell entangled states. Commun. Theor. Phys. 57(4), 583–588 (2012)
Zi, W., Guo, F.Z., Luo, Y., Cao, S.H., Wen, Q.Y.: Quantum private comparison protocol with the random rotation. Int. J. Theor. Phys. 52(9), 3212–3219 (2013)
Tseng, H.Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11(2), 373–384 (2012)
Wang, C., Xu, G., Yang, Y.X.: Cryptanalysis and improvements for the quantum private comparison protocol using EPR pairs. Int. J. Quant. Inform. 11(4), 1350039 (2013)
Yang, Y.G., Xia, J., Jia, X., Zhang, H.: Comment on quantum private comparison protocols with a semihonest third party. Quantum Inf. Process. 12(2), 877–885 (2013)
Zhang, W.W., Zhang, K.J.: Cryptanalysis and improvement of the quantum private comparison protocol with semi-honest third party. Quantum Inf. Process. 12(5), 1981–1990 (2013)
Lin, J., Yang, C.W., Hwang, T.: Quantum private comparison of equality protocol without a third party. Quantum Inf. Process. 13(2), 239–247 (2014)
Zhang, B., Liu, X.T., Wang, J., Tang, C.J.: Cryptanalysis and improvement of quantum private comparison of equality protocol without a third party. Quantum Inf. Process. 14(12), 4593–4600 (2015)
Lang, Y.-F.: Quantum gate-based quantum private comparison. Int. J. Theor. Phys. 59(3), 833–840 (2020)
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(7), 2167–2176 (2014)
Liu, W., Wang, Y.B., Jiang, Z.T.: An efficient protocol for the quantum private comparison of equality with W state. Opt. Commun. 284(12), 3160–3163 (2011)
Zhang, W.W., Li, D., Li, Y.B.: Quantum private comparison protocol with W states. Int. J. Theor. Phys. 53(5), 1723–1729 (2014)
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(7), 1561–1565 (2010)
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(9), 2412–2414 (2011)
Li, Y.B., Wang, T.Y., Chen, H.Y., Li, M.D., Yang, Y.T.: Fault-tolerate quantum private comparison based on GHZ states and ECC. Int. J. Theor. Phys. 52(8), 2818–2825 (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)
Xu, G.A., Chen, X.B., Wei, Z.H., Li, M.J., Yang, Y.X.: An efficient protocol for the quantum private comparison of equality with a four-qubit cluster state. Int. J. Quant. Inform. 10(4), 1250045 (2012)
Sun, Z.W., Long, D.Y.: Quantum private comparison protocol based on cluster states. Int. J. Theor. Phys. 52(1), 212–218 (2013)
Liu, W., Wang, Y.B., Jiang, Z.T., Cao, Y.Z.: A protocol for the quantum private comparison of equality with χ-type state. Int. J. Theor. Phys. 51(1), 69–77 (2012)
Liu, W., Wang, Y.B., Jiang, Z.T., Cao, Y.Z., Cui, W.: New quantum private comparison protocol usingχ-type state. Int. J. Theor. Phys. 51(6), 1953–1960 (2012)
Lin, S., Guo, G.D., Liu, X.F.: Quantum private comparison of equality with χ-type entangled states. Int. J. Theor. Phys. 52(11), 4185–4194 (2013)
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)
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), 711–715 (2016)
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(28), 1–179 (2019)
Liu, W., Wang, Y.B., Wang, X.M.: Multi-party quantum private comparison protocol using d-dimensional basis states without entanglement swapping. Int. J. Theor. Phys. 53(4), 1085–1091 (2014)
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(10), 2343–2352 (2014)
Wang, Q.L., Sun, H.X., Huang, W.: Multi-party quantum private comparison protocol with n-level entangled states. Quantum Inf. Process. 13(11), 2375–2389 (2014)
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)
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)
Chou, W.H., Hwang, T., Gu, J.: Semi-quantum private comparison protocol under an almost-dishonest third party. http://arxiv.org/pdf/quant-ph/160707961.pdf
Thapliyala, K., Sharmab, R.D., Pathak, A.: Orthogonal-state-based and semi-quantum protocols for quantum private comparison in noisy environment. http://arxiv.org/pdf/quant-ph/160800101.pdf
Lo, H.K.: Insecurity of quantum secure computations. Phys. Rev. A. 56(2), 1154–1162 (1997)
Jennewein, T., Simon, C., Weihs, G., Weinfurter, H., Zeilinger, A.: Quantum cryptography with entangled photons. Phys. Rev. Lett. 84, 4729–4732 (2000)
Hughes, R.J., Nordholt, J.E., Derkacs, D., Peterson, C.G.: Practical free-space quantum key distribution over 10 km in daylight and at night. New J. Phys. 4, 43.1–43.14 (2002)
Gobby, C., Yuan, Z.L., Shields, A.J.: Quantum key distribution over 122 km of standard telecom fiber. Appl. Phys. Lett. 84, 3762–3764 (2004)
Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A. 65, 032302 (2002)
Li, C.Y., Zhou, H.Y., Wang, Y., Deng, F.G.: Secure quantum key distribution network with bell states and local unitary operations. Chin. Phys. Lett. 22(5), 1049–1052 (2005)
Li, C.Y., Li, X.H., Deng, F.G., Zhou, P., Liang, Y.J., Zhou, H.Y.: Efficient quantum cryptography network without entanglement and quantum memory. Chin. Phys. Lett. 23(11), 2896–2899 (2006)
Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85(2), 441–444 (2000)
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The author Lang Yan-Feng thanks Daughter Lang Duo-Zi for her support on this work.
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Lang, YF. Quantum Private Comparison without Classical Computation. Int J Theor Phys 59, 2984–2992 (2020). https://doi.org/10.1007/s10773-020-04559-1
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DOI: https://doi.org/10.1007/s10773-020-04559-1