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

Anthony Leverrier, Frédéric Grosshans, and Philippe Grangier Phys. Rev. A 81, 062343 (2010)

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.

arXiv:1005.0339v2 [quant-ph]

The authors acknowledge the hospitality of CQT Singapore during the workshop Quantum Cryptography with Finite Resources (4-6 December 2008). This work received financial support from Agence Nationale de la Recherche under projects PROSPIQ (ANR-06-NANO-041-05) and SEQURE (ANR-07-SESU-011-01) and from the EU ERC Starting Grant PERCENT.

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