S. N. Molotkov, “Quantum entanglement and composite keys in quantum cryptography”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2017, Volume 105, Issue 12,Pages <nobr>763

This article is cited in 2 papers

QUANTUM INFORMATION SCIENCE

Quantum entanglement and composite keys in quantum cryptography

S. N. Molotkov^abc

^a Academy of Cryptography of the Russian Federation, Moscow, Russia
^b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
^c Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, Russia

Abstract: The security of quantum cryptography protocols after a quantum key distribution (QKD) session is formulated in terms of proximity between two situations: quantum states corresponding to real and ideal situations after QKD. The measure of proximity is the trace distance. It is more reasonable to formulate security directly in terms of the smallness of probability of successive guessing of keys by an eavesdropper after an arbitrary number of QKD sessions. There is a fundamental question the answer to which is a priori very unobvious: Is the security criterion in terms of the proximity of the real and ideal situations for a single QKD session sufficient to guarantee the security of keys in terms of the smallness of probability of guessing of keys by the eavesdropper after an arbitrary number of QKD sessions? It has been shown that the answer to this question is positive.

Received: 09.03.2017
Revised: 10.05.2017

DOI: 10.7868/S0370274X17120116