Multidimensional reconciliation for continuous-variable quantum key distribution

Anthony Leverrier (1, 2) , Romain Alleaume (1, 3) , Joseph J. Boutros (4) , Gilles Zémor (5) , Philippe Grangier (2)

1 ENST - Ecole Nationale Supérieure des Télécommunications
2 Laboratoire Charles Fabry de l'Institut d'Optique / Optique quantique
3 LPQM - Laboratoire de Photonique Quantique et Moléculaire
4 Texas A&M University System
5 IMB - Institut de Mathématiques de Bordeaux

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, 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.

Domaines: Théorie de l'information [cs.IT]; Théorie de l'information et codage [math.IT]; Physique Quantique [quant-ph]

Anthony Leverrier, Romain Alleaume, Joseph J. Boutros, Gilles Zémor, Philippe Grangier. Multidimensional reconciliation for continuous-variable quantum key distribution. IEEE International Symposium on Information Theory, 2008. ISIT 2008., Jul 2008, Toronto, Canada. pp.1020-1024, ⟨10.1109/ISIT.2008.4595141⟩. ⟨hal-00316160⟩