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

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...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2010-06, Vol.81 (6), Article 062343
Main Authors: Leverrier, Anthony, Grosshans, Frédéric, Grangier, Philippe
Format: Article
Language:English
Subjects:
ASYMPTOTIC SOLUTIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CRYPTOGRAPHY
DISTANCE
DISTRIBUTION
MATHEMATICAL SOLUTIONS
MECHANICS
Physics
QUANTUM CRYPTOGRAPHY
QUANTUM MECHANICS
Quantum Physics
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Summary: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 the ones 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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.81.062343