Simple and Tight Security Analysis of the Bennett-Brassard 1984 Protocol with Finite Key Lengths

Details Simple and Tight Security Analysis of the Bennett-Brassard 1984 Protocol with Finite Key Lengths Simple and Tight Security Analysis of the Bennett-Brassard 1984 Protocol with Finite Key Lengths

2011-07-04

arxiv.org/abs/1107.0589v1

Physics

Quantum Physics

9 pages, 1 figure

Scientific paper

We present a tight security analysis of the Bennett-Brassard 1984 protocol taking into account the finite size effect of key distillation, and achieving unconditional security. We begin by presenting a simple argument utilizing the normal approximation of the hypergeometric function, and next show that a similarly tight bound can be obtained by a rigorous argument without relying on the normal approximation.

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