论文标题
Bennett-Brassard 1984协议中的两个基部之间的最佳比率和二阶分析
Optimum ratio between two bases in Bennett-Brassard 1984 protocol with second order analysis
论文作者
论文摘要
Bennet-Brassard 1984（BB84）协议，我们通过在相干攻击下使用二阶扩展来优化两个基础选择的比率，即位基和相位基础。这种优化解决了由于其基础的分歧和阶段错误率的估计误差而导致的传输位损失之间的权衡。然后，我们使用二阶渐近学来得出最佳比率和发电密钥的最佳长度。令人惊讶的是，第二阶的订单$ n^{3/4} $，它比常规设置的第二阶$ n^{1/2} $大得多，而$ n $是量子通信的数量。这一事实表明，我们的设置对二阶分析比常规问题具有更大的重要性。为了说明这一重要性，我们从数值上绘制了二阶校正的效果。
Bennet-Brassard 1984 (BB84) protocol, we optimize the ratio of the choice of two bases, the bit basis and the phase basis by using the second order expansion for the length of the generation keys under the coherent attack. This optimization addresses the trade-off between the loss of transmitted bits due to the disagreement of their bases and the estimation error of the error rate in the phase basis. Then, we derive the optimum ratio and the optimum length of the generation keys with the second order asymptotics. Surprisingly, the second order has the order $n^{3/4}$, which is much larger than the second order $n^{1/2}$ in the conventional setting when $n$ is the number of quantum communication. This fact shows that our setting has much larger importance for the second order analysis than the conventional problem. To illustrate this importance, we numerically plot the effect of the second order correction.
