Multidimensional reconciliation for a continuous-variable quantum key distribution

Anthony Leverrier, Romain Alléaume, Joseph Boutros, Gilles Zémor, Philippe Grangier

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104 Citations (Scopus)


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 eight-dimensional reconciliation method based on the algebraic properties of octonions. Since the protocol does not use any post-selection, it can be proven secure against arbitrary collective attacks by using well-established theorems on the optimality of Gaussian attacks. By using this coding scheme with an appropriate signal-to-noise ratio, the distance for a secure continuous-variable quantum key distribution can be significantly extended.

Original languageEnglish
Article number042325
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number4
Publication statusPublished - 30 Apr 2008


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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