Multidimensional reconciliation for a continuous-variable quantum key distribution Academic Article uri icon


  • 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. © 2008 The American Physical Society.

author list (cited authors)

  • Leverrier, A., Alléaume, R., Boutros, J., Zémor, G., & Grangier, P.

citation count

  • 127

publication date

  • April 2008