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Noise Tolerance of the BB84 Protocol with Random Privacy Amplification

Shun Watanabe, Ryutaroh Matsumoto, Tomohiko Uyematsu

quant-pharXiv:quant-ph/0412070

Abstract

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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