Recently, Cui and Guo (Quantum Inform. Process. 18, 182, 2019) gave some quantum testing algorithms of multi-output Boolean functions, one of them was for resiliency testing. However, through the algorithm, we cannot get the probability distribution of a Boolean function. Improving the algorithm there, we present quantum algorithms for this problem. Under the condition of non-resiliency, we obtain not only the conclusion that the function F(x) is statistically dependent of which t variables but also the distance of the probability distribution from the uniform distribution.

中文翻译：

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向量布尔函数弹性的量子算法

最近，崔和过（量子通知。处理。18，182，2019），获得了一些量子测试的多输出布尔函数的算法，其中之一是为弹性测试。但是，通过该算法，我们无法获得布尔函数的概率分布。为了改进该算法，我们提出了解决该问题的量子算法。在非弹性条件下，我们不仅得出结论，函数F（x）在统计上取决于哪个t变量，而且还得出概率分布与均匀分布之间的距离。