Abstract
Quantum key distribution (QKD) offers a practical solution for secure communication between two distinct parties via a quantum channel and an authentic public channel. In this work, we consider different approaches to the quantum bit error rate (QBER) estimation at the information reconciliation stage of the post-processing procedure. For reconciliation schemes employing low-density parity-check (LDPC) codes, we develop a novel syndrome-based QBER estimation algorithm. The algorithm suggested is suitable for irregular LDPC codes and takes into account punctured and shortened bits. Testing our approach in a real QKD setup, we show that an approach combining the proposed algorithm with conventional QBER estimation techniques allows one to improve the accuracy of the QBER estimation.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
P. W. Shor, SIAM J. Comput., 26, 1484 (1997).
N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys., 74, 145 (2002).
H.-K. Lo, M. Curty, and K. Tamaki, Nat. Photon., 8, 595 (2014).
E. Diamanti, H.-K. Lo, and Z. Yuan, J. Quantum Inform., 2, 16025 (2016).
C. H . Bennet and G. Brassard, in: Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing (Bangalore, India, 1984), IEEE Publ., New York (1984), p. 175.
R. Gallager, IRE Trans. Inform. Theor., 8, 21 (1962).
D. J. C. MacKay, IEEE Trans. Inform. Theor., 45, 399 (1999).
A. Shokrollahi, “Coding, cryptography, and combinatorics,” in: Keqin Feng, Harald Niederreiter, and Chaoping Xing (Eds.), Progress in Computer Science and Applied Logic, Springer (2004), Vol. 23, p. 85.
D. Elkouss, J. Martínez-Mateo, and V. Martin, in: Proceedings of the IEEE International Symposium on Information Theory and its Applications (ISITA), (Taichung, Taiwan, 2010), IEEE Publ., New York (2010), p. 179.
D. A. Kronberg, Mat. Vopr. Kriptogr., 8(2), 77 (2017).
D. Elkouss, J. Martínez-Mateo, and V. Martin, Quantum Inform. Comput., 11, 226 (2011).
J. Martínez-Mateo, D. Elkouss, and V. Martin, Quantum Inform. Comput., 12, 791 (2012).
E. O. Kiktenko, A. S. Trushechkin, Y. V. Kurochkin, and A. K. Fedorov, J. Phys. Conf. Ser., 741, 012081 (2016).
E. O. Kiktenko, A. S. Trushechkin, C. C. W. Lim, et al., Phys. Rev. Appl., 8, 044017 (2017).
A. K. Fedorov, E. O. Kiktenko, and A. S. Trushechkin, Lobachevskii J. Math., 39, 992 (2018).
P. Treeviriyanupab, in: 14th International Symposium on Communications and Information Technologies (ISCIT), (Incheon, 2014), p. 351.
X.-Y. Hu, E. Eleftheriou, D.-M. Arnold, and A. Dholakia, in: Proceedings of Global Telecommunications Conference (2001), p. 1879.
M. P. C. Fossorier, M. Mihaljevic, and H. Imai, IEEE Trans. Commun., 47, 683 (1999).
A. A. Emran and M. Elsabrouty, in: The 11th IEEE Consumer Communications and Networking Conference (CCNC), (Las Vegas, NV, 2014), p. 518.
D. Slepian and J. Wolf, IEEE Trans. Inform. Theory, 19, 471 (1973).
R. P. Brent, Algorithms for Minimization without Derivatives, Prentice-Hall, Englewood Cliffs, New Jersey (1973).
J. Martínez-Mateo, D. Elkouss, and V. Martin, IEEE Commun. Lett., 14, 1155 (2010).
D. Elkouss, A. Leverrier, R. Alleaume, and J. J. Boutros in: Proceedings of IEEE International Symposium on Information Theory (2009), p. 1879.
A. V. Duplinskiy, E. O. Kiktenko, N. O. Pozhar, et al., J. Russ. Laser Res., 39, 113 (2018).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kiktenko, E.O., Malyshev, A.O., Bozhedarov, A.A. et al. Error Estimation at the Information Reconciliation Stage of Quantum Key Distribution. J Russ Laser Res 39, 558–567 (2018). https://doi.org/10.1007/s10946-018-9752-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-018-9752-y