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Appl. Sci. 2018, 8(1), 87; https://doi.org/10.3390/app8010087

Low-Dimensional Reconciliation for Continuous-Variable Quantum Key Distribution

1
School of Electronics and Computer Science, University of Southampton, Southampton SO17 1BJ, UK
2
Department of Networked Systems and Services, Budapest University of Technology and Economics, H-1117 Budapest, Hungary
3
MTA-BME Information Systems Research Group, Hungarian Academy of Sciences, H-1051 Budapest, Hungary
*
Author to whom correspondence should be addressed.
Received: 12 November 2017 / Revised: 27 December 2017 / Accepted: 5 January 2018 / Published: 9 January 2018
(This article belongs to the Section Computer Science and Electrical Engineering)
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Abstract

We propose an efficient logical layer-based reconciliation method for continuous-variable quantum key distribution (CVQKD) to extract binary information from correlated Gaussian variables. We demonstrate that by operating on the raw-data level, the noise of the quantum channel can be corrected in the low-dimensional (scalar) space, and the reconciliation can be extended to arbitrary dimensions. The CVQKD systems allow an unconditionally secret communication over standard telecommunication networks. To exploit the real potential of CVQKD a robust reconciliation technique is needed. It is currently unavailable, which makes it impossible to reach the real performance of the CVQKD protocols. The reconciliation is a post-processing step separated from the transmission of quantum states, which is aimed to derive the secret key from the raw data. The reconciliation process of correlated Gaussian variables is a complex problem that requires either tomography in the physical layer that is intractable in a practical scenario, or high-cost calculations in the multidimensional spherical space with strict dimensional limitations. To avoid these issues, we define the low-dimensional reconciliation. We prove that the error probability of one-dimensional reconciliation is zero in any practical CVQKD scenario, and provides unconditional security. The results allow for significantly improving the currently available key rates and transmission distances of CVQKD. View Full-Text
Keywords: continuous-variable quantum key distribution; quantum Shannon theory continuous-variable quantum key distribution; quantum Shannon theory
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Gyongyosi, L.; Imre, S. Low-Dimensional Reconciliation for Continuous-Variable Quantum Key Distribution. Appl. Sci. 2018, 8, 87.

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