Noise Tolerance of the BB84 Protocol with Random Privacy Amplification

Physics – Quantum Physics

Scientific paper

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26 pages, 1 figure, version 2 fills a logical gap in the proof. Version 3 includes an upper bound on the mutual information wi

Scientific paper

10.1142/S0219749906002316

We prove that BB84 protocol with random privacy amplification is secure with
a higher key rate than Mayers' estimate with the same error rate. Consequently,
the tolerable error rate of this protocol is increased from 7.5 % to 11 %. We
also extend this method to the case of estimating error rates separately in
each basis, which enables us to securely share a longer key.

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