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The direct communication protocol of quantum network over noisy channel is proposed and investigated in this study. In communication process, all quantum nodes share multiparticle Greenberger-Horne-Zeilinger (GHZ)-states. The sending node takes the GHZ-state particle in the hand as the control qubit and the particle for sending secret information as the target qubit, which carries out the CNOT gate operation for the control and target qubit. Each receiving node takes the GHZ-state particle in the hand as the control qubit and the particle of the received secret information as the target qubit, in which the CNOT gate operation is repeated to obtain the secret information that contains the bit error. Each receiving node uses the extracted part of qubits as the checking qubits, and then corrects the bit-flip errors using parity check matrix together with the rest part of qubits. As a result, all receiving nodes obtain rectified secret information. In addition to the high security analysis, this study also presents the detailed analyses of the throughput efficiency and the communication performance.
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Keywords:
- noisy /
- quantum secure direct communication /
- quantum network /
- quantum error coding
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[37] Deng F G, Li X H, Li C Y, Zhou P, Liang Y J, Zhou H Y 2006 Chin. Phys. Lett. 23 1676
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[40] Jing J, Wu L A 2015 Sci. Bull. 60 328
[41] Heilmann R, Gräfe M 2015 Sci. Bull. 60 96
[42] Sheng Y B, Liu J Z, Sheng Y, Wang L, Zhou L 2014 Chin. Phys. B 23 080305
[43] Deng F G, Long G L 2006 Commun. Theor. Phys. 46 443
[44] Hao L, Wang C, Long G L 2010 J. Phys. B: At. Mol. Opt. Phys. 43 125502
[45] Nebendahl V 2015 Phys. Rev. A 91 022332
-
[1] Bennett C H, Brassard G 1984 Proceedings of IEEE International Conference on Computers, System and Signal Processing Bangalore, India, December 1984 pp75-179
[2] Ekert A K 1991 Phys. Rev. Lett. 67 661
[3] Bennett C H 1992 Phys. Rev. Lett. 68 3121
[4] Zhou N R, Cheng H L, Tao X Y, Gong L H 2014 Quantum Inf. Process 13 513
[5] Yan F L, Gao T 2005 Phys. Rev. A 72 012304
[6] Ma H, Chen B, Guo Z, Li H 2008 Can. J. Phys. 86 1097
[7] Zhang Y S, Li CF, Guo G C 2001 Phys. Rev. A 64 024302
[8] Zhao Z, Chen Y A, Zhang A N, Yang T, Briegel H J, Pan J W 2004 Nature 430 54
[9] Matsumoto R 2007 Phys. Rev. A 76 62316
[10] Chen L B, Zheng C H, Ma H Y, Shan C J 2014 Opt. Commun. 328 73
[11] Guo B H, Yang L, Xiang C, Guan C, Wu L A, Liu S H 2013 Acta Phys. Sin. 62 130303 (in Chinese) [郭邦红, 杨理, 向憧, 关翀, 吴令安, 刘颂豪 2013 62 130303]
[12] Chen L B, Yang W 2014 Laser Phys. Lett. 11 105201
[13] Zhang P, Zhou X Q, Li Z W 2014 Acta Phys. Sin. 63 130301 (in Chinese) [张沛, 周小清, 李智伟 2014 63 130301]
[14] Qiu T H, Yang G J 2014 Phys. Rev. A 89 052312
[15] Zhang C M, Song X T, Treeviriyanupab P, Li M, Wang C, Li H W, Han Z F 2014 Chin. Sci. Bull. 59 2825
[16] Su X L 2014 Chin. Sci. Bull. 59 1083
[17] Wang C, Guo H, Ren J, Cao Y, Peng C, Liu W 2014 Sci. China: Phys. Mech. Astron. 57 1233
[18] Gao F, Fang W, Wen Q Y 2014 Sci. China: Phys. Mech. Astron. 57 1244
[19] Gong L H, Song H C, He C S, Liu Y, Zhou N R 2014 Phys. Scr. 89 035101
[20] Li C Y, Zhou H Y, Wang Y, Deng F G 2005 Chin. Phys. Lett. 22 1049
[21] Sheng Y B, Zhou L, Cheng W W, Gong L Y, Wang L, Zhao S M 2013 Chin. Phys. B 22 030314
[22] Shor P W, Preskill J 2000 Phys. Rev. Lett. 85 441
[23] Long G L, Liu X S 2002 Phys. Rev. A 65 032302
[24] Boström K, Felbinger T 2002 Phys. Rev. Lett. 89 187902
[25] Deng F G, Long G L, Liu X S 2003 Phys. Rev. A 68 042317
[26] Deng F G, Long G L 2004 Phys. Rev. A 69 052319
[27] Wang C, Deng F G, Li Y S, Liu X S, Long G L 2005 Phys. Rev. A 71 044305
[28] Li X H, Zhou P, Liang Y J, Li C Y, Zhou H Y, Deng F G
[29] Deng F G, Li X H, Li C Y, Zhou P, Zhou H Y 2006 Phys. Lett. A 359 359
[30] Wen K, Long G L 2010 Int. J. Quantum. Info. 8 697
[31] Zhou N R, Hua T X, Wu G T, He C S, Zhang Y 2014 Intern. J. Theor. Phys. 53 3829
[32] Long G L, Deng F G, Wang C, Li X H, Wen K, Wang W Y
[33] Chang Y, Xu C, Zhang S, Yan L 2014 Chin. Sci. Bull. 59 2541
[34] Chang Y, Xu C, Zhang S, Yan L 2013 Chin. Sci. Bull. 58 4571
[35] Zou X F, Qiu D W 2014 Sci. China: Phys Mech. Astron. 57 1696
[36] Zheng C, Long G F 2014 Sci. China: Phys. Mech. Astron. 57 1238
[37] Deng F G, Li X H, Li C Y, Zhou P, Liang Y J, Zhou H Y 2006 Chin. Phys. Lett. 23 1676
[38] Hu J Y, Yu B, Jing M Y, Xiao L T, Jia S T 2015 arXiv:1503.00451
[39] Li S, Ma H Q, Wu L A, Zhai G J 2013 Acta Phys. Sin. 62 084214 (in Chinese) [李申, 马海强, 吴令安, 翟光杰 2013 62 084214]
[40] Jing J, Wu L A 2015 Sci. Bull. 60 328
[41] Heilmann R, Gräfe M 2015 Sci. Bull. 60 96
[42] Sheng Y B, Liu J Z, Sheng Y, Wang L, Zhou L 2014 Chin. Phys. B 23 080305
[43] Deng F G, Long G L 2006 Commun. Theor. Phys. 46 443
[44] Hao L, Wang C, Long G L 2010 J. Phys. B: At. Mol. Opt. Phys. 43 125502
[45] Nebendahl V 2015 Phys. Rev. A 91 022332
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