Multidimensional reconciliation for continuous-variable quantum key distribution

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Abstract

We propose a method for extracting an errorless secret key in a continuous-variable quantum key distribution protocol, which is based on Gaussian modulation of coherent states and homodyne detection. The crucial feature is an eightdimensional reconciliation method, relying on the algebraic properties of octonions. By using this coding scheme with an appropriate signal-to-noise ratio, the distance for secure continuous-variable quantum key distribution can be significantly extended. © 2008 IEEE.

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Leverrier, A., Alléaume, R., Boutros, J., Zémor, G., & Grangier, P. (2008). Multidimensional reconciliation for continuous-variable quantum key distribution. In IEEE International Symposium on Information Theory - Proceedings (pp. 1020–1024). https://doi.org/10.1109/ISIT.2008.4595141

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