Finite-size analysis of a continuous-variable quantum key distribution

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.062343· OSTI ID:21437870

Leverrier, Anthony ^[1]; Grosshans, Frederic ^[2]; Grangier, Philippe ^[3]

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1. Institut Telecom / Telecom ParisTech, CNRS LTCI, 46 rue Barrault, 75634 Paris Cedex 13, France and ICFO-Institut de Ciences Fotoniques, E-08860 Castelldefels (Barcelona) (Spain)
2. Laboratoire de Photonique Quantique et Moleculaire, ENS de Cachan, UMR CNRS 8735, F-94235 Cachan Cedex (France)
3. Laboratoire Charles Fabry, Institut d'Optique, CNRS, Universite Paris-Sud, Campus Polytechnique, RD 128, F-91127 Palaiseau Cedex (France)

The goal of this paper is to extend the framework of finite-size analysis recently developed for quantum key distribution to continuous-variable protocols. We do not solve this problem completely here, and we mainly consider the finite-size effects on the parameter estimation procedure. Despite the fact that some questions are left open, we are able to give an estimation of the secret key rate for protocols which do not contain a postselection procedure. As expected, these results are significantly more pessimistic than those obtained in the asymptotic regime. However, we show that recent continuous-variable protocols are able to provide fully secure secret keys in the finite-size scenario, over distances larger than 50 km.

• OSTI ID: 21437870
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
CRYPTOGRAPHY
DISTANCE
DISTRIBUTION
MATHEMATICAL SOLUTIONS
MECHANICS
QUANTUM CRYPTOGRAPHY
QUANTUM MECHANICS