S. N. Molotkov, “Entropic uncertainty relations and the extremely allowable critical error in quantum cryptography”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2011, Volume 94, Issue 11,Pages <nobr>900

This article is cited in 3 papers

QUANTUM INFORMATION SCIENCE

Entropic uncertainty relations and the extremely allowable critical error in quantum cryptography

S. N. Molotkov^abc

^a Institute of Solid State Physics, Russian Academy of Sciences
^b Academy of Criptography of Russia
^c M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: The main parameter of any quantum cryptography protocol is the critical error $Q_c$ to which secret key distribution is possible. The critical error of all known quantum key distribution protocols does not exceed $20\%$. In this work, a protocol with which secret key distribution is possible to $Q_c\rightarrow 50\%$ is described and a simple proof of the security of the protocol is presented using fundamental entropic uncertainty relations. This critical error is a theoretical, but achievable limit, which cannot be improved.

Received: 18.10.2011
Revised: 31.10.2011