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Erschienen in: Quantum Information Processing 7/2016

01.07.2016

Quantum dialogue protocols over collective noise using entanglement of GHZ state

verfasst von: Chih-Hung Chang, Chun-Wei Yang, Geng-Rong Hzu, Tzonelih Hwang, Shih-Hung Kao

Erschienen in: Quantum Information Processing | Ausgabe 7/2016

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Abstract

In this paper, two quantum dialogue (QD) protocols based on the entanglement of GHZ states are proposed to resist the collective noise. Besides, two new coding functions are designed for each of the proposed protocols, which can resist two types of collective noise: collective-dephasing noise and collective-rotation noise, respectively. Furthermore, it is also argued that these QD protocols are also free from the Trojan horse attacks and the information leakage problem.

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Literatur
2.
Zurück zum Zitat Xia, Y., Bo, F.C., Zhang, S., Hong, S.K., Yeon, K.H., Um, C.I.: Quantum dialogue by using the GHZ state. J. Korean Phys. Soc 48(quant–ph/0601127. 1), 24–27 (2006) Xia, Y., Bo, F.C., Zhang, S., Hong, S.K., Yeon, K.H., Um, C.I.: Quantum dialogue by using the GHZ state. J. Korean Phys. Soc 48(quant–ph/0601127. 1), 24–27 (2006)
3.
Zurück zum Zitat An, N.B.: Secure dialogue without a prior key distribution. J. Korean Phys. Soc. 47(4), 562–567 (2005) An, N.B.: Secure dialogue without a prior key distribution. J. Korean Phys. Soc. 47(4), 562–567 (2005)
4.
Zurück zum Zitat Man, Z.X., Zhang, Z.J., Li, Y.: Quantum dialogue revisited. Chin. Phys. Lett. 22(1), 22–24 (2005)ADSCrossRef Man, Z.X., Zhang, Z.J., Li, Y.: Quantum dialogue revisited. Chin. Phys. Lett. 22(1), 22–24 (2005)ADSCrossRef
5.
Zurück zum Zitat Ji, X., Zhang, S.: Secure quantum dialogue based on single-photon. Chin. Phys. 15(7), 1418–1420 (2006)ADSCrossRef Ji, X., Zhang, S.: Secure quantum dialogue based on single-photon. Chin. Phys. 15(7), 1418–1420 (2006)ADSCrossRef
6.
Zurück zum Zitat Man, Z.-X., Xia, Y.-J.: Controlled bidirectional quantum direct communication by using a GHZ state. Chin. Phys. Lett. 23(7), 1680 (2006)ADSCrossRef Man, Z.-X., Xia, Y.-J.: Controlled bidirectional quantum direct communication by using a GHZ state. Chin. Phys. Lett. 23(7), 1680 (2006)ADSCrossRef
7.
Zurück zum Zitat Man, Z., Xia, Y.: Improvement of security of three-party quantum secure direct communication based on GHZ states. Chin. Phys. Lett. 24(1), 15 (2007)ADSMathSciNetCrossRef Man, Z., Xia, Y.: Improvement of security of three-party quantum secure direct communication based on GHZ states. Chin. Phys. Lett. 24(1), 15 (2007)ADSMathSciNetCrossRef
8.
Zurück zum Zitat Xia, Y., Song, J., Nie, J., Song, H.-S.: Controlled secure quantum dialogue using a pure entangled GHZ states. Commun. Theor. Phys. 48(5), 841 (2007)ADSCrossRef Xia, Y., Song, J., Nie, J., Song, H.-S.: Controlled secure quantum dialogue using a pure entangled GHZ states. Commun. Theor. Phys. 48(5), 841 (2007)ADSCrossRef
9.
Zurück zum Zitat Yang, Y.G., Wen, Q.Y.: Quasi-secure quantum dialogue using single photons. Sci. China Ser. G Phys. Mech. Astron. 50(5), 558–562 (2007)ADSCrossRef Yang, Y.G., Wen, Q.Y.: Quasi-secure quantum dialogue using single photons. Sci. China Ser. G Phys. Mech. Astron. 50(5), 558–562 (2007)ADSCrossRef
10.
Zurück zum Zitat Ying, S., Qiao-Yan, W., Fu-Chen, Z.: Multiparty quantum chatting scheme. Chin. Phys. Lett. 25(3), 828 (2008)ADSCrossRef Ying, S., Qiao-Yan, W., Fu-Chen, Z.: Multiparty quantum chatting scheme. Chin. Phys. Lett. 25(3), 828 (2008)ADSCrossRef
11.
Zurück zum Zitat Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Revisiting the security of quantum dialogue and bidirectional quantum secure direct communication. Sci. China Ser. G Phys. Mech. Astron. 51(5), 559–566 (2008) Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Revisiting the security of quantum dialogue and bidirectional quantum secure direct communication. Sci. China Ser. G Phys. Mech. Astron. 51(5), 559–566 (2008)
12.
Zurück zum Zitat Dong, L., Xiu, X.-M., Gao, Y.-J., Chi, F.: A controlled quantum dialogue protocol in the network using entanglement swapping. Opt. Commun. 281(24), 6135–6138 (2008)ADSCrossRef Dong, L., Xiu, X.-M., Gao, Y.-J., Chi, F.: A controlled quantum dialogue protocol in the network using entanglement swapping. Opt. Commun. 281(24), 6135–6138 (2008)ADSCrossRef
13.
Zurück zum Zitat Tan, Y.G., Cai, Q.Y.: Classical correlation in quantum dialogue. Int. J. Quantum Inf. 6(2), 325–329 (2008)CrossRef Tan, Y.G., Cai, Q.Y.: Classical correlation in quantum dialogue. Int. J. Quantum Inf. 6(2), 325–329 (2008)CrossRef
14.
Zurück zum Zitat Dong, L., Xiu, X.M., Gao, Y.J., Chi, F.: Quantum dialogue protocol using a class of three-photon W states. Commun. Theor. Phys. 52(5), 853–856 (2009)ADSCrossRefMATH Dong, L., Xiu, X.M., Gao, Y.J., Chi, F.: Quantum dialogue protocol using a class of three-photon W states. Commun. Theor. Phys. 52(5), 853–856 (2009)ADSCrossRefMATH
15.
Zurück zum Zitat Gao, G.: Two quantum dialogue protocols without information leakage. Opt. Commun. 283(10), 2288–2293 (2010)ADSCrossRef Gao, G.: Two quantum dialogue protocols without information leakage. Opt. Commun. 283(10), 2288–2293 (2010)ADSCrossRef
16.
Zurück zum Zitat Shi, G.F., Xi, X.Q., Hu, M.L., Yue, R.H.: Quantum secure dialogue by using single photons. Opt. Commun. 283(9), 1984–1986 (2010)ADSCrossRef Shi, G.F., Xi, X.Q., Hu, M.L., Yue, R.H.: Quantum secure dialogue by using single photons. Opt. Commun. 283(9), 1984–1986 (2010)ADSCrossRef
17.
Zurück zum Zitat Shi, G.F., Tian, X.L.: Quantum secure dialogue based on single photons and controlled-not operations. J. Mod. Opt. 57(20), 2027–2030 (2010)ADSCrossRef Shi, G.F., Tian, X.L.: Quantum secure dialogue based on single photons and controlled-not operations. J. Mod. Opt. 57(20), 2027–2030 (2010)ADSCrossRef
18.
Zurück zum Zitat Zhan, Y.B., Zhang, L.L., Wang, Y.W., Zhang, Q.Y.: Quantum dialogue by using non-symmetric quantum channel. Commun. Theor. Phys. 53(4), 648–652 (2010)ADSMathSciNetCrossRefMATH Zhan, Y.B., Zhang, L.L., Wang, Y.W., Zhang, Q.Y.: Quantum dialogue by using non-symmetric quantum channel. Commun. Theor. Phys. 53(4), 648–652 (2010)ADSMathSciNetCrossRefMATH
19.
Zurück zum Zitat Liu, H., Zhang, X.L., Lu, H.: Eavesdropping on the quantum dialogue protocol in lossy channel. Chin. Phys. B 20(7), 070 305-1–070 305-5 (2011) Liu, H., Zhang, X.L., Lu, H.: Eavesdropping on the quantum dialogue protocol in lossy channel. Chin. Phys. B 20(7), 070 305-1–070 305-5 (2011)
20.
Zurück zum Zitat Naseri, M.: An efficient protocol for quantum secure dialogue with authentication by using single photons. Int. J. Quantum Inf. 9(7–8), 1677–1684 (2011) Naseri, M.: An efficient protocol for quantum secure dialogue with authentication by using single photons. Int. J. Quantum Inf. 9(7–8), 1677–1684 (2011)
21.
Zurück zum Zitat Shen, D., Ma, W., Yin, X., Li, X.: Quantum dialogue with authentication based on Bell states. Int. J. Theor. Phys. 52(6), 1825–1835 (2013)MathSciNetCrossRefMATH Shen, D., Ma, W., Yin, X., Li, X.: Quantum dialogue with authentication based on Bell states. Int. J. Theor. Phys. 52(6), 1825–1835 (2013)MathSciNetCrossRefMATH
22.
23.
Zurück zum Zitat Lin, T.H., Lin, C.Y., Hwang, T.: Man-in-the-middle attack on quantum dialogue with authentication based on Bell states. Int. J. Theor. Phys. 52(9), 3199–3203 (2013)MathSciNetCrossRefMATH Lin, T.H., Lin, C.Y., Hwang, T.: Man-in-the-middle attack on quantum dialogue with authentication based on Bell states. Int. J. Theor. Phys. 52(9), 3199–3203 (2013)MathSciNetCrossRefMATH
24.
Zurück zum Zitat Wang, H., Zhang, Y.Q., Hu, Y.P.: Efficient quantum dialogue by using the two-qutrit entangled states without information leakage. Int. J. Theor. Phys. 52(6), 1745–1750 (2013)MathSciNetCrossRef Wang, H., Zhang, Y.Q., Hu, Y.P.: Efficient quantum dialogue by using the two-qutrit entangled states without information leakage. Int. J. Theor. Phys. 52(6), 1745–1750 (2013)MathSciNetCrossRef
26.
Zurück zum Zitat Ye, T.Y., Jiang, L.Z.: Quantum dialogue without information leakage based on the entanglement swapping between any two Bell states and the shared secret Bell state. Phys. Scr. 89(1), 015 103-1–015 103-7 (2014)CrossRef Ye, T.Y., Jiang, L.Z.: Quantum dialogue without information leakage based on the entanglement swapping between any two Bell states and the shared secret Bell state. Phys. Scr. 89(1), 015 103-1–015 103-7 (2014)CrossRef
31.
32.
33.
Zurück zum Zitat Ye, T.: Quantum secure direct dialogue over collective noise channels based on logical bell states. Quantum Inf. Process. 14(4), 1487–1499 (2015)ADSCrossRefMATH Ye, T.: Quantum secure direct dialogue over collective noise channels based on logical bell states. Quantum Inf. Process. 14(4), 1487–1499 (2015)ADSCrossRefMATH
36.
37.
Zurück zum Zitat Wu, D., Lv, H.-J., Xie, G.-J.: Robust anti-collective noise quantum secure direct dialogue using logical bell states. Int. J. Theor. Phys. 55(1), 457–469 (2015)CrossRefMATH Wu, D., Lv, H.-J., Xie, G.-J.: Robust anti-collective noise quantum secure direct dialogue using logical bell states. Int. J. Theor. Phys. 55(1), 457–469 (2015)CrossRefMATH
38.
Zurück zum Zitat Jin, X.-R., Ji, X., Zhang, Y.-Q., Zhang, S., Hong, S.-K., Yeon, K.-H., Um, C.-I.: Three-party quantum secure direct communication based on GHZ states. Phys. Lett. A 354(1–2), 67–70 (2006)ADSCrossRef Jin, X.-R., Ji, X., Zhang, Y.-Q., Zhang, S., Hong, S.-K., Yeon, K.-H., Um, C.-I.: Three-party quantum secure direct communication based on GHZ states. Phys. Lett. A 354(1–2), 67–70 (2006)ADSCrossRef
39.
Zurück zum Zitat Li, X.-H., Zhao, B.-K., Sheng, Y.-B., Deng, F.-G., Zhou, H.-Y.: Fault tolerant quantum key distribution based on quantum dense coding with collective noise. Int. J. Quantum Inf. 07(08), 1479–1489 (2009)CrossRefMATH Li, X.-H., Zhao, B.-K., Sheng, Y.-B., Deng, F.-G., Zhou, H.-Y.: Fault tolerant quantum key distribution based on quantum dense coding with collective noise. Int. J. Quantum Inf. 07(08), 1479–1489 (2009)CrossRefMATH
40.
Zurück zum Zitat Lin, J., Hwang, T.: Bell state entanglement swappings over collective noises and their applications on quantum cryptography. Quantum Inf. Process. 12(2), 1089–1107 (2013)ADSMathSciNetCrossRefMATH Lin, J., Hwang, T.: Bell state entanglement swappings over collective noises and their applications on quantum cryptography. Quantum Inf. Process. 12(2), 1089–1107 (2013)ADSMathSciNetCrossRefMATH
41.
42.
Zurück zum Zitat Li, X.-H., Deng, F.-G., Zhou, H.-Y.: Efficient quantum key distribution over a collective noise channel. Phys. Rev. A 78, 022321 (2008)ADSCrossRef Li, X.-H., Deng, F.-G., Zhou, H.-Y.: Efficient quantum key distribution over a collective noise channel. Phys. Rev. A 78, 022321 (2008)ADSCrossRef
43.
Zurück zum Zitat Zanardi, P., Rasetti, M.: Noiseless quantum codes. Phys. Rev. Lett. 79, 3306–3309 (1997)ADSCrossRef Zanardi, P., Rasetti, M.: Noiseless quantum codes. Phys. Rev. Lett. 79, 3306–3309 (1997)ADSCrossRef
44.
Zurück zum Zitat Yang, C.-W., Hwang, T.: Fault tolerant quantum key distributions using entanglement swapping of GHZ states over collective-noise channels. Quantum Inf. Process. 12(10), 3207–3222 (2013)ADSMathSciNetCrossRefMATH Yang, C.-W., Hwang, T.: Fault tolerant quantum key distributions using entanglement swapping of GHZ states over collective-noise channels. Quantum Inf. Process. 12(10), 3207–3222 (2013)ADSMathSciNetCrossRefMATH
45.
Zurück zum Zitat Basharov, A., Gorbachev, V., Trubilko, A., Yakovleva, E.: One-way gates based on EPR, GHZ and decoherence-free states of W class. Phys. Lett. A 373(38), 3410–3412 (2009)ADSMathSciNetCrossRefMATH Basharov, A., Gorbachev, V., Trubilko, A., Yakovleva, E.: One-way gates based on EPR, GHZ and decoherence-free states of W class. Phys. Lett. A 373(38), 3410–3412 (2009)ADSMathSciNetCrossRefMATH
46.
Zurück zum Zitat Huang, W., Wen, Q., Liu, B., Gao, F., Sun, Y.: Robust and efficient quantum private comparison of equality with collective detection over collective-noise channels. Sci. China Phys. Mech. Astron. 56(9), 1670–1678 (2013)ADSCrossRef Huang, W., Wen, Q., Liu, B., Gao, F., Sun, Y.: Robust and efficient quantum private comparison of equality with collective detection over collective-noise channels. Sci. China Phys. Mech. Astron. 56(9), 1670–1678 (2013)ADSCrossRef
47.
Zurück zum Zitat Xiu, X.-M., Dong, L., Gao, Y.-J., Chi, F.: Quantum key distribution protocols with six-photon states against collective noise. Opt. Commun. 282(20), 4171–4174 (2009)ADSCrossRef Xiu, X.-M., Dong, L., Gao, Y.-J., Chi, F.: Quantum key distribution protocols with six-photon states against collective noise. Opt. Commun. 282(20), 4171–4174 (2009)ADSCrossRef
48.
Zurück zum Zitat Yang, C., Tsai, C., Hwang, T.: Fault tolerant two-step quantum secure direct communication protocol against collective noises. Sci. China Phys. Mech. Astron. 54(3), 496–501 (2011)ADSCrossRef Yang, C., Tsai, C., Hwang, T.: Fault tolerant two-step quantum secure direct communication protocol against collective noises. Sci. China Phys. Mech. Astron. 54(3), 496–501 (2011)ADSCrossRef
49.
Zurück zum Zitat Yang, C.-W., Hwang, T.: Trojan horse attack free fault-tolerant quantum key distribution protocols. Quantum Inf. Process. 13(3), 781–794 (2014)MathSciNetCrossRefMATH Yang, C.-W., Hwang, T.: Trojan horse attack free fault-tolerant quantum key distribution protocols. Quantum Inf. Process. 13(3), 781–794 (2014)MathSciNetCrossRefMATH
50.
Zurück zum Zitat Gao, F., Qin, S.-J., Wen, Q.-Y., Zhu, F.-C.: A simple participant attack on the brádler-dušek protocol. Quantum Inf. Comput. 7(4), 329–334 (2007)MathSciNetMATH Gao, F., Qin, S.-J., Wen, Q.-Y., Zhu, F.-C.: A simple participant attack on the brádler-dušek protocol. Quantum Inf. Comput. 7(4), 329–334 (2007)MathSciNetMATH
51.
Zurück zum Zitat Gao, F., Guo, F.-Z., Wen, Q.-Y., Zhu, F.-C.: Comment on experimental demonstration of a quantum protocol for byzantine agreement and liar detection. Phys. Rev. Lett. 101, 208901 (2008)ADSCrossRef Gao, F., Guo, F.-Z., Wen, Q.-Y., Zhu, F.-C.: Comment on experimental demonstration of a quantum protocol for byzantine agreement and liar detection. Phys. Rev. Lett. 101, 208901 (2008)ADSCrossRef
52.
Zurück zum Zitat Deng, F.-G., Li, X.-H., Zhou, H.-Y., Zhang, Z.-J.: Improving the security of multiparty quantum secret sharing against trojan horse attack. Phys. Rev. A 72(4), 044302 (2005)ADSCrossRef Deng, F.-G., Li, X.-H., Zhou, H.-Y., Zhang, Z.-J.: Improving the security of multiparty quantum secret sharing against trojan horse attack. Phys. Rev. A 72(4), 044302 (2005)ADSCrossRef
53.
Zurück zum Zitat Li, X.-H., Deng, F.-G., Zhou, H.-Y.: Improving the security of secure direct communication based on the secret transmitting order of particles. Phys. Rev. A 74(5), 054302 (2006)ADSCrossRef Li, X.-H., Deng, F.-G., Zhou, H.-Y.: Improving the security of secure direct communication based on the secret transmitting order of particles. Phys. Rev. A 74(5), 054302 (2006)ADSCrossRef
54.
Zurück zum Zitat Cai, Q.-Y.: Eavesdropping on the two-way quantum communication protocols with invisible photons. Phys. Lett. A 351(1–2), 23–25 (2006)ADSCrossRefMATH Cai, Q.-Y.: Eavesdropping on the two-way quantum communication protocols with invisible photons. Phys. Lett. A 351(1–2), 23–25 (2006)ADSCrossRefMATH
55.
Zurück zum Zitat Chong, S.-K., Luo, Y.-P., Hwang, T.: On arbitrated quantum signature of classical messages against collective amplitude damping noise. Opt. Commun. 284(3), 893–895 (2011)ADSCrossRef Chong, S.-K., Luo, Y.-P., Hwang, T.: On arbitrated quantum signature of classical messages against collective amplitude damping noise. Opt. Commun. 284(3), 893–895 (2011)ADSCrossRef
56.
Zurück zum Zitat Shannon, C.E.: A mathematical theory of communication. SIGMOBILE Mob. Comput. Commun. Rev. 5(1), 3–55 (2001)MathSciNetCrossRef Shannon, C.E.: A mathematical theory of communication. SIGMOBILE Mob. Comput. Commun. Rev. 5(1), 3–55 (2001)MathSciNetCrossRef
57.
Zurück zum Zitat Yang, C.-W., Tsai, C.-W., Hwang, T.: Fault tolerant deterministic quantum communications using GHZ states over collective-noise channels. Quantum Inf. Process. 12(9), 3043–3055 (2013)ADSMathSciNetCrossRefMATH Yang, C.-W., Tsai, C.-W., Hwang, T.: Fault tolerant deterministic quantum communications using GHZ states over collective-noise channels. Quantum Inf. Process. 12(9), 3043–3055 (2013)ADSMathSciNetCrossRefMATH
58.
Zurück zum Zitat Kao, S.-H., Hwang, T.: Multiparty controlled quantum secure direct communication based on quantum search algorithm. Quantum Inf. Process. 12(12), 3791–3805 (2013)ADSMathSciNetCrossRefMATH Kao, S.-H., Hwang, T.: Multiparty controlled quantum secure direct communication based on quantum search algorithm. Quantum Inf. Process. 12(12), 3791–3805 (2013)ADSMathSciNetCrossRefMATH
Metadaten
Titel
Quantum dialogue protocols over collective noise using entanglement of GHZ state
verfasst von
Chih-Hung Chang
Chun-Wei Yang
Geng-Rong Hzu
Tzonelih Hwang
Shih-Hung Kao
Publikationsdatum
01.07.2016
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 7/2016
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1309-9

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