Reconciliation of a Quantum-Distributed Gaussian Key

Gilles Van Assche, Jean Cardinal and Nicolas J. Cerf

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Poster presented at CVQIP'02

IEEE Trans. Inform. Theory 50, p. 394 (2004)
arΧiv e-print cs.CR/0107030 (2001)
Presented at CVQIP'02 in Brussels, Belgium, April 5-8, 2002

Abstract

Two parties, Alice and Bob, wish to distill a binary secret key out of a list of correlated variables that they share after running a quantum key distribution protocol based on continuous-spectrum quantum carriers. We present a novel construction that allows the legitimate parties to get equal bit strings out of correlated variables by using a classical channel, with as few leaked information as possible. This opens the way to securely correcting non-binary key elements. In particular, the construction is refined to the case of Gaussian variables as it applies directly to recent continuous-variable protocols for quantum key distribution.

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