Physics – Quantum Physics
Scientific paper
2006-02-14
Physical Review A, Vol. 74, 022307 (2006)
Physics
Quantum Physics
The manuscript has been modfied
Scientific paper
10.1103/PhysRevA.74.022307
Many papers proved the security of quantum key distribution (QKD) system, in the asymptotic framework. The degree of the security has not been discussed in the finite coding-length framework, sufficiently. However, to guarantee any implemented QKD system requires, it is needed to evaluate a protocol with a finite coding-length. For this purpose, we derive a tight upper bound of the eavesdropper's information. This bound is better than existing bounds. We also obtain the exponential rate of the eavesdropper's information. Further, we approximate our bound by using the normal distribution.
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