Guessing probability in quantum key distribution
Abstract
On the basis of the existing trace distance result, we present a simple and efficient method to tighten the upper bound of the guessing probability. The guessing probability of the final key k can be upper bounded by the guessing probability of another key k', if k' can be mapped from the final key k. Compared with the known methods, our result is more tightened by thousands of orders of magnitude. For example, given a 10^{-9}-secure key from the sifted key, the upper bound of the guessing probability obtained using our method is 2*10^(-3277). This value is smaller than the existing result 10^(-9) by more than 3000 orders of magnitude. Our result shows that from the perspective of guessing probability, the performance of the existing trace distance security is actually much better than what was assumed in the past.
Keywords
Cite
@article{arxiv.1904.12075,
title = {Guessing probability in quantum key distribution},
author = {Xiang-Bin Wang and Jing-Tao Wang and Ji-Qian Qin and Cong Jiang and Zong-Wen Yu},
journal= {arXiv preprint arXiv:1904.12075},
year = {2020}
}
Comments
published version (with typing error corrected)