Distributional Transform Based Information Reconciliation

Authors

  • Micael Andrade Dias Department of Electrical Engineering, Federal University of Campina Grande, Campina Grande, Brazil https://orcid.org/0000-0001-6394-9174
  • Francisco Marcos de Assis Department ofElectrical Engineering, Federal University of Campina Grande (UFCG)

DOI:

https://doi.org/10.14209/jcis.2024.7

Keywords:

Information Reconciliation, Distributional Transform, CVQKD

Abstract

In this paper, we present an information reconciliation protocol designed for Continuous-Variable QKD using the Distributional Transform. By combining tools from copula and information theory, we present a method for extracting independent symmetric Bernoulli bits for Gaussian-modulated CVQKD protocols, which we called the Distributional Transform Expansion (DTE). We derived the expressions for the maximum reconciliation efficiency for both homodyne and heterodyne measurements, which, for the last, is achievable with an efficiency greater than 0.9 at a signal-to-noise ratio lower than -3.6 dB.

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Author Biographies

Micael Andrade Dias, Department of Electrical Engineering, Federal University of Campina Grande, Campina Grande, Brazil

Micael A. Dias  received the B.Sc. degree in 2017 in electrical engineering from the Federal Institute of Education, Science and Technology of Paraíba (IFPB), Paraíba, Brazil, the M.Sc. degree in 2019 and doctorate degree in 2023 in electrical engineering both from the Federal University of Campina Grande (UFCG), Paraíba, Brazil. Currently he is Adjoint Professor at the Integrated Manufacturing and Technology Center (CIMATEC), Salvador, Bahia, Brazil, and is a member of the Institute for Studies in Quantum Computation and Quantum Information (IQuanta), Campina Grande, Paraíba, Brazil. His research interests include classical and quantum information theory, quantum communication and quantum cryptography.

Francisco Marcos de Assis, Department ofElectrical Engineering, Federal University of Campina Grande (UFCG)

Francisco M. de Assis received the B.Sc. degree in 1984 and M.Sc. degree in 1992 in electrical engineering both from Military Institute of Engineering (IME), Rio de Janeiro,Brazil and, doctorade degree in 1994 from Pontifical Catholic University of Rio de Janeiro (PUC-Rio), Rio de Janeiro, Brazil. Currentlyhe is Full Professor at Federal University of Campina Grande (UFCG) and head of the Institute for Studies in Quantum Computation and Quantum Information (IQuanta), Campina Grande, Paraíba, Brazil. His research interestsinclude information theory applications to classical and quantum systems.

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Published

2024-05-08

How to Cite

Dias, M. A., & de Assis, F. M. (2024). Distributional Transform Based Information Reconciliation. Journal of Communication and Information Systems, 39(1), 74–81. https://doi.org/10.14209/jcis.2024.7

Issue

Vol. 39 No. 1 (2024): Vol. 39 No. 1 (2024)

Section

Regular Papers

License

Copyright (c) 2024 Micael Andrade Dias, Francisco Marcos de Assis (Author)

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Received 2023-05-12
Accepted 2024-04-23
Published 2024-05-08