论文标题
连续可变源无关的量子随机数生成的有限尺寸分析
Finite-size analysis of continuous variable source-independent quantum random number generation
论文作者
论文摘要
我们研究有限尺寸效应对连续可变源无关的量子随机数生成的影响。中央限制定理和最大似然估计定理用于得出可以输出统计波动并确定实用量子随机数生成参数的上限的公式。通过这些结果，我们可以看到检查数据的长度和信心概率与最终随机性有密切的相关性，可以根据实施的需求进行调整。此外，还详细考虑了其他关键参数，例如采样范围大小和采样分辨率。发现与采样范围尺寸相关的量化输出的分布对由于有限尺寸效应而导致的最终随机性丧失具有重大影响。总体结果表明，应考虑实现连续可变源无关的量子随机数生成的有限尺寸效应。
We study the impact of finite-size effect on continuous variable source-independent quantum random number generation. The central-limit theorem and maximum likelihood estimation theorem are used to derive the formula which could output the statistical fluctuations and determine upper bound of parameters of practical quantum random number generation. With these results, we can see the check data length and confidence probability has intense relevance to the final randomness, which can be adjusted according to the demand in implementation. Besides, other key parameters, such as sampling range size and sampling resolution, have also been considered in detail. It is found that the distribution of quantified output related with sampling range size has significant effects on the loss of final randomness due to finite-size effect. The overall results indicate that the finite-size effect should be taken into consideration for implementing the continuous variable source-independent quantum random number generation in practical.
