Secure Key Rate of the BB84 Protocol using Finite Sample Bits

Physics – Quantum Physics

Scientific paper

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22 pages, 2 figures, to be published in J. Phys. A. Version 4 clarifies the assumptions of this paper. The source files of ver

Scientific paper

10.1088/1751-8113/43/49/495302

We improve the non-asymptotic key rate shown by Scarani and Renner by proposing several methods to construct tighter conservative confidence intervals of the phase error rate than one shown by them. In addition, we show that the accurate channel estimation method non-asymptotically increases the key rate over the amplitude damping channel as well as the asymptotic case in the BB84 protocol.

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