Abstract
We study the effect of many eavesdroppers cloning attacks via a depolarizing channel of the Bennett– Brassard cryptographic protocol on the quantum error and the mutual information between honest parties. We compute the quantum error and the mutual information for an arbitrary number of attacks. We prove that the quantum error, the secret information, and the secured/unsecured transition depend strongly on the eavesdroppers’ number, their angle of attack, and the depolarizing parameter. However, when all the eavesdroppers attack with an identical angle the quantum error increases with increase in the eavesdroppers’ number and/or decrease of the depolarizing parameter p for 0 ≤ p ≤ 0.165, while for p > 0.165, the lost information is greater than the mutual information exchanged between honest parties independently of the eavesdropper number and the angle of attack.
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Manuscript submitted by the authors in English on April 28, 2015.
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Dehmani, M., Ez-Zahraouy, H. & Benyoussef, A. Quantum Key Distribution with Several Cloning Attacks via a Depolarizing Channel. J Russ Laser Res 36, 228–236 (2015). https://doi.org/10.1007/s10946-015-9495-y
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DOI: https://doi.org/10.1007/s10946-015-9495-y