Abstract

Information reconciliation (IR) corrects the errors in sifted keys and ensures the correctness of quantum key distribution (QKD) systems. Polar codes-based IR schemes can achieve high reconciliation efficiency; however, the incidental high frame error rate decreases the secure key rate of QKD systems. In this article, we propose a Shannon-limit approached (SLA) IR scheme, which mainly contains two phases: the forward reconciliation phase and the acknowledgment reconciliation phase. In the forward reconciliation phase, the sifted key is divided into sub-blocks and performed with the improved block checked successive cancellation list decoder of polar codes. Afterward, only the failure corrected sub-blocks perform the additional acknowledgment reconciliation phase, which decreases the frame error rate of the SLA IR scheme. The experimental results show that the overall failure probability of SLA IR scheme is decreased to 10^{-8} and the efficiency is improved to 1.091 with the IR block length of 128 Mb. Furthermore, the efficiency of the proposed SLA IR scheme is 1.055, approached to Shannon limit, when the quantum bit error rate is 0.02 and the input scale of 1 Gb, which is hundred times larger than the state-of-the-art implemented polar codes-based IR schemes.

Highlights

  • Quantum key distribution (QKD) can generate information-theoretical secure keys between distant communication parties (Alice and Bob) [1,2,3]

  • We propose a Shannon-limit approached (SLA) information reconciliation (IR) scheme based on polar codes in quantum key distribution (QKD) systems, which achieves high reconciliation efficiency and decreases the overall Information reconciliation (IR) failure probability to 10−8

  • The proposed SLA IR scheme mainly consists of two phases: the forward reconciliation phase and the acknowledgment reconciliation phase

Read more

Summary

Information reconciliation

Information reconciliation (IR), as the critical post-processing procedure of QKD systems, corrects the errors in the sifted keys introduced by the implementation imperfectness and various attacks [1,19,20], so as to ensure the correctness of QKD systems [21]. A IR and KIBR, the ε-correctness is equivalent to the requirement that the outputs of IR procedure,. Assume the key information learned by eavesdroppers is S, the reconciliation efficiency is defined as f. H2 (x) = −x log (x) − (1 − x) log (1 − x)

Polar codes-based IR schemes
Shannon-limit approached IR scheme
Forward reconciliation
Acknowledgment reconciliation
Block checked SCL decoder
Performance of the SLA IR scheme
Results
Conclusion
Compliance with ethical standards
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.