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

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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 → 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.

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Original Russian Text © S.N. Molotkov, 2011, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2011, Vol. 94, No. 11, pp. 900–903.

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Molotkov, S.N. Entropic uncertainty relations and the extremely allowable critical error in quantum cryptography. Jetp Lett. 94, 820–823 (2012). https://doi.org/10.1134/S0021364011230093

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  • DOI: https://doi.org/10.1134/S0021364011230093

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