Abstract
In order to increase the maximum transmission distance and simplified implementation, we propose a continuous-variable quantum key distribution (CVQKD) protocol of entanglement in the middle, which the protocol is based on gaussian modulation of a single quadrature of the coherent states of light and the noiseless linear amplifier (NLA). This protocol uses the simplified unidimensional protocol to simplified implementation, and uses the NLA to increase the maximum transmission distance and tolerable excess noise in the presence of gaussian lossy and noisy channel. The simulation results show that the proposed unidimensional CVQKD protocol of entanglement in the middle with NLA obvious increased the maximum transmission distance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ekert, A.K.: Quantum cryptography theorem. Phys. Rev. Lett. 67, 661 (1991)
Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Quantum cryptography. Rev. Mod. Phys. 74, 145 (2002)
Scarani, V., Bechmann-Pasquinucci, H., Cerf, N.J.: The security of practical quantum key distribution. Rev. Mod. Phys. 81, 1301 (2009)
Lo, H.-K., Curty, M., Tamaki, K.: Secure quantum key distribution. Nat. Photonics 8, 595–604 (2014)
Diamanti, E., Lo, H.-K., Qi, B., Yuan, Z.: Practical challenges in quantum key distribution. arXiv preprint arXiv:1606.05853 (2016)
Bennett, C.H., Brassard, G.: An update on quantum cryptography. In: Blakley, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 475–480. Springer, Heidelberg (1985). https://doi.org/10.1007/3-540-39568-7_39
Garca-Patrn, R., Cerf, N.J.: Continuous-variable quantum key distribution protocols over noisy channels. Phys. Rev. Lett. 102, 130501 (2009)
Zhao, Y., Qi, B., Ma, X., Lo, H.-K., Qian, L.: Experimental quantum key distribution with decoy states. Phys. Rev. Lett. 96, 070502 (2006)
Grosshans, F., Van Assche, G., Wenger, J., Brouri, R., Cerf, N.J., Grangier, P.: Quantum key distribution using Gaussian-modulated coherent states. arXiv preprint quant-ph/0312016 (2003)
Grosshans, F., Grangier, P.: Continuous variable quantum cryptography using coherent states. Phys. Rev. Lett. 88, 057902 (2002)
Grosshans, F.: Optimality of Gaussian attacks in continuous-variable quantum cryptography. Phys. Rev. Lett. 97, 190502 (2006)
Cerf, N.J.: Unconditional optimality of Gaussian attacks against continuous-variable quantum key distribution. Phys. Rev. Lett. 97, 190503 (2006)
Leverrier, A., Grosshans, F., Grangier, P.: Finite-size analysis of a continuous-variable quantum key distribution. Phys. Rev. A 81, 062343 (2010)
Leverrier, A.: Composable security proof for continuous-variable quantum key distribution with coherent states. Phys. Rev. Lett. 114, 070501 (2015)
Renner, R., Cirac, J.I.: de Finetti representation theorem for infinite-dimensional quantum systems and applications to quantum cryptography. Phys. Rev. Lett. 102, 110504 (2009)
Furrer, F., Franz, T., Berta, M., Leverrier, A., Scholz, V.B., Tomamichel, M., et al.: Continuous variable quantum key distribution: finite-key analysis of composable security against coherent attacks. Phys. Rev. Lett. 109, 100502 (2012)
Leverrier, A., Renner, R., Cerf, N.J.: Security of continuous-variable quantum key distribution against general attacks. Phys. Rev. Lett. 110, 030502 (2013)
Jouguet, P., Kunz-Jacques, S., Leverrier, A., Grangier, P., Diamanti, E.: Experimental demonstration of long-distance continuous-variable quantum key distribution. Nat. Photonics 7, 378–381 (2013)
Huang, D., Huang, P., Lin, D., Zeng, G.: Long-distance continuous-variable quantum key distribution by controlling excess noise. Sci. Rep. 6 (2016)
Huang, D., Lin, D., Wang, C., Liu, W., Fang, S., Peng, J., et al.: Continuous-variable quantum key distribution with 1 Mbps secure key rate. Opt. Express 23, 17511–17519 (2015)
Wang, C., Huang, D., Huang, P., Lin, D., Peng, J., Zeng, G.: 25Â MHz clock continuous-variable quantum key distribution system over 50Â km fiber channel. Sci. Rep. 5 (2015)
Weedbrook, C., Pirandola, S., Garca-Patrn, R., Cerf, N.J., Ralph, T.C., Shapiro, J.H., et al.: Gaussian quantum information. Rev. Mod. Phys. 84, 621 (2012)
Gerhardt, I., Liu, Q., Lamas-Linares, A., Skaar, J., Kurtsiefer, C., Makarov, V.: Full-field implementation of a perfect eavesdropper on a quantum cryptography system. arXiv preprint arXiv:1011.0105 (2010)
Jain, N., Wittmann, C., Lydersen, L., Wiechers, C., Elser, D., Marquardt, C., et al.: Device calibration impacts security of quantum key distribution. Phys. Rev. Lett. 107, 110501 (2011)
Waks, E., Zeevi, A., Yamamoto, Y.: Security of quantum key distribution with entangled photons against individual attacks. Phys. Rev. A 65, 052310 (2002)
Ma, X., Fung, C.-H.F., Lo, H.-K.: Quantum key distribution with entangled photon sources. Phys. Rev. A 76, 012307 (2007)
Weedbrook, C.: Continuous-variable quantum key distribution with entanglement in the middle. Phys. Rev. A 87, 022308 (2013)
Ralph, T., Lund, A.: Nondeterministic noiseless linear amplification of quantum systems. In: AIP Conference Proceedings, pp. 155–160 (2009)
Walk, N., Lund, A.P., Ralph, T.C.: Nondeterministic noiseless amplification via non-symplectic phase space transformations. New J. Phys. 15, 073014 (2013)
McMahon, N., Lund, A., Ralph, T.: Optimal architecture for a nondeterministic noiseless linear amplifier. Phys. Rev. A 89, 023846 (2014)
Bernu, J., Armstrong, S., Symul, T., Ralph, T.C., Lam, P.K.: Theoretical analysis of an ideal noiseless linear amplifier for Einstein-Podolsky-Rosen entanglement distillation. J. Phys. B: At. Mol. Opt. Phys. 47, 215503 (2014)
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, 012327 (2012)
Usenko, V.C., Grosshans, F.: Unidimensional continuous-variable quantum key distribution. Phys. Rev. A 92, 062337 (2015)
Grosshans, F., Cerf, N.J., Wenger, J., Tualle-Brouri, R., Grangier, P.: Virtual entanglement and reconciliation protocols for quantum cryptography with continuous variables. arXiv preprint quant-ph/0306141 (2003)
Serafini, A., Paris, M., Illuminati, F., De Siena, S.: Quantifying decoherence in continuous variable systems. J. Optics B Quant. Semiclassical Opt. 7, R19 (2005)
Acknowledgment
This work was supported by the National Natural Science Foundation of China (Grant Nos. 61379153, 61572529).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Cao, Y., Liang, J., Guo, Y. (2017). Lengthening Unidimensional Continuous-Variable Quantum Key Distribution with Noiseless Linear Amplifier. In: Wang, G., Atiquzzaman, M., Yan, Z., Choo, KK. (eds) Security, Privacy, and Anonymity in Computation, Communication, and Storage. SpaCCS 2017. Lecture Notes in Computer Science(), vol 10656. Springer, Cham. https://doi.org/10.1007/978-3-319-72389-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-72389-1_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-72388-4
Online ISBN: 978-3-319-72389-1
eBook Packages: Computer ScienceComputer Science (R0)