Tight finite-key analysis for quantum cryptography

Marco Tomamichel (), Charles Ci Wen Lim, Nicolas Gisin and Renato Renner
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Marco Tomamichel: Institute for Theoretical Physics, ETH Zurich
Charles Ci Wen Lim: Group of Applied Physics, University of Geneva
Nicolas Gisin: Group of Applied Physics, University of Geneva
Renato Renner: Institute for Theoretical Physics, ETH Zurich

Nature Communications, 2012, vol. 3, issue 1, 1-6

Abstract: Abstract Despite enormous theoretical and experimental progress in quantum cryptography, the security of most current implementations of quantum key distribution is still not rigorously established. One significant problem is that the security of the final key strongly depends on the number, M, of signals exchanged between the legitimate parties. Yet, existing security proofs are often only valid asymptotically, for unrealistically large values of M. Another challenge is that most security proofs are very sensitive to small differences between the physical devices used by the protocol and the theoretical model used to describe them. Here we show that these gaps between theory and experiment can be simultaneously overcome by using a recently developed proof technique based on the uncertainty relation for smooth entropies.

Date: 2012
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DOI: 10.1038/ncomms1631

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