Improvement of two-way continuous-variable quantum key distribution with virtual photon subtraction
- 202 Downloads
- 1 Citations
Abstract
We propose a method to improve the performance of two-way continuous-variable quantum key distribution protocol by virtual photon subtraction. The virtual photon subtraction implemented via non-Gaussian post-selection not only enhances the entanglement of two-mode squeezed vacuum state but also has advantages in simplifying physical operation and promoting efficiency. In two-way protocol, virtual photon subtraction could be applied on two sources independently. Numerical simulations show that the optimal performance of renovated two-way protocol is obtained with photon subtraction only used by Alice. The transmission distance and tolerable excess noise are improved by using the virtual photon subtraction with appropriate parameters. Moreover, the tolerable excess noise maintains a high value with the increase in distance so that the robustness of two-way continuous-variable quantum key distribution system is significantly improved, especially at long transmission distance.
Keywords
Continuous-variable quantum key distribution Two-way protocol Virtual photon subtraction Tolerable excess noiseNotes
Acknowledgements
This work was supported in part by the National Basic Research Program of China (973 Program) under Grant 2014CB340102, in part by the National Natural Science Foundation under Grants 61225003, 61531003, 61427813, 61401036, 61471051.
References
- 1.Weedbrook, C., Pirandola, S., García-Patrón, R., Cerf, N.J., Ralph, T.C., Shapiro, J.H., Lloyd, S.: Gaussian quantum information. Rev. Mod. Phys. 84(2), 621 (2012)ADSCrossRefGoogle Scholar
- 2.Wang, X.B., Hiroshima, T., Tomita, A., Hayashi, M.: Quantum information with Gaussian states. Phys. Rep. 448(1), 1–111 (2007)ADSMathSciNetCrossRefGoogle Scholar
- 3.Grosshans, F., Grangier, P.: Continuous variable quantum cryptography using coherent states. Phys. Rev. Lett. 88(5), 057902 (2002)ADSCrossRefGoogle Scholar
- 4.Weedbrook, C., Lance, A.M., Bowen, W.P., Symul, T., Ralph, T.C., Lam, P.K.: Quantum cryptography without switching. Phys. Rev. Lett. 93(17), 170504 (2004)ADSCrossRefGoogle Scholar
- 5.Qi, B., Zhu, W., Qian, L., Lo, H.K.: Feasibility of quantum key distribution through a dense wavelength division multiplexing network. New J. Phys. 12(10), 103042 (2010)ADSCrossRefGoogle Scholar
- 6.Kumar, R., Qin, H., Allaume, R.: Coexistence of continuous variable QKD with intense DWDM classical channels. New J. Phys. 17(4), 043027 (2015)ADSCrossRefGoogle Scholar
- 7.Lodewyck, J., Bloch, M., García-Patrón, R., Fossier, S., Karpov, E., Diamanti, E., Debuisschert, T., Cerf, N.J., Tualle-Brouri, R., McLaughlin, S.W., Grangier, P.: Quantum key distribution over 25 km with an all-fiber continuous-variable system. Phys. Rev. A 76(4), 042305 (2007)ADSCrossRefGoogle Scholar
- 8.Jouguet, P., Kunz-Jacques, S., Leverrier, A., Grangier, P., Diamanti, E.: Experimental demonstration of long-distance continuous-variable quantum key distribution. Nat. Photonics 7(5), 378–381 (2013)ADSCrossRefGoogle Scholar
- 9.Huang, D., Lin, D., Wang, C., Liu, W., Fang, S., Peng, J., Huang, P., Zeng, G.: Continuous-variable quantum key distribution with 1 Mbps secure key rate. Opt. Express 23(13), 17511–17519 (2015)ADSCrossRefGoogle Scholar
- 10.Pirandola, S., Mancini, S., Lloyd, S., Braunstein, S.L.: Continuous-variable quantum cryptography using two-way quantum communication. Nat. Phys. 4(9), 726–730 (2008)CrossRefGoogle Scholar
- 11.Sun, M., Peng, X., Shen, Y., Guo, H.: Security of a new two-way continuous-variable quantum key distribution protocol. Int. J. Quantum Inf. 10(05), 1250059 (2012)MathSciNetCrossRefMATHGoogle Scholar
- 12.Zhang, Y., Li, Z., Weedbrook, C., Yu, S., Gu, W., Sun, M., Peng, X., Guo, H.: Improvement of two-way continuous-variable quantum key distribution using optical amplifiers. J. Phys. B 47(3), 035501 (2014)ADSCrossRefGoogle Scholar
- 13.Xiang, G.Y., Ralph, T.C., Lund, A.P., Walk, N., Pryde, G.J.: Heralded noiseless linear amplification and distillation of entanglement. Nat. Phys. 4(5), 316–319 (2010)Google Scholar
- 14.Blandino, R., Leverrier, A., Barbieri, M., Etesse, J., Grangier, P., Tualle-Brouri, R.: Improving the maximum transmission distance of continuous-variable quantum key distribution using a noiseless amplifier. Phys. Rev. A 86(1), 012327 (2012)ADSCrossRefGoogle Scholar
- 15.Zhang, Y., Li, Z., Weedbrook, C., Marshall, K., Pirandola, S., Yu, S., Guo, H.: Noiseless linear amplifiers in entanglement-based continuous-variable quantum key distribution. Entropy 17(7), 4547–4562 (2015)ADSCrossRefGoogle Scholar
- 16.Zhang, Y., Yu, S., Guo, H.: Application of practical noiseless linear amplifier in no-switching continuous-variable quantum cryptography. Quantum Inf. Process. 14(11), 4339–4349 (2015)ADSMathSciNetCrossRefMATHGoogle Scholar
- 17.Opatrný, T., Kurizki, G., Welsch, D.G.: Improvement on teleportation of continuous variables by photon subtraction via conditional measurement. Phys. Rev. A 61(3), 032302 (2000)ADSCrossRefGoogle Scholar
- 18.Kim, M.S., Park, E., Knight, P.L., Jeong, H.: Nonclassicality of a photon-subtracted Gaussian field. Phys. Rev. A 71(4), 043805 (2005)ADSCrossRefGoogle Scholar
- 19.Kitagawa, A., Takeoka, M., Sasaki, M., Chefles, A.: Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states. Phys. Rev. A 73(4), 042310 (2006)ADSCrossRefGoogle Scholar
- 20.Navarrete-Benlloch, C., García-Patrón, R., Shapiro, J.H., Cerf, N.J.: Enhancing quantum entanglement by photon addition and subtraction. Phys. Rev. A 86(1), 012328 (2012)ADSCrossRefGoogle Scholar
- 21.Huang, P., He, G., Fang, J., Zeng, G.: Performance improvement of continuous-variable quantum key distribution via photon subtraction. Phys. Rev. A 87(1), 012317 (2013)ADSCrossRefGoogle Scholar
- 22.Eisaman, M.D., Fan, J., Migdall, A., Polyakov, S.V.: Invited review article: single-photon sources and detectors. Rev. Sci. Instrum. 82(7), 071101 (2011)ADSCrossRefGoogle Scholar
- 23.Li, Z., Zhang, Y.C., Wang, X., Xu, B., Peng, X., Guo, H.: Non-Gaussian postselection and virtual photon subtraction in continuous-variable quantum key distribution. Phys. Rev. A 93(1), 012310 (2016)ADSCrossRefGoogle Scholar
- 24.Navascués, M., Grosshans, F., Acín, A.: Optimality of Gaussian attacks in continuous-variable quantum cryptography. Phys. Rev. Lett. 97(19), 190502 (2006)ADSCrossRefGoogle Scholar
- 25.García-Patrón, R., Cerf, N.J.: Unconditional optimality of Gaussian attacks against continuous-variable quantum key distribution. Phys. Rev. Lett. 97(19), 190503 (2006)ADSCrossRefGoogle Scholar
- 26.Grosshans, F., Van Assche, G., Wenger, J., Brouri, R., Cerf, N.J., Grangier, P.: Quantum key distribution using Gaussian-modulated coherent states. Nature 421(6920), 238–241 (2003)ADSCrossRefGoogle Scholar
- 27.Weedbrook, C., Grosse, N.B., Symul, T., Lam, P.K., Ralph, T.C.: Quantum cloning of continuous-variable entangled states. Phys. Rev. A 77(5), 052313 (2008)ADSCrossRefGoogle Scholar