This is a simplification of a previous version of this ArXiv note. We present an example of a function $f$ from $\{-1,1\}^n$ to the unit sphere in $\mathbb{C}$ with influence bounded by $1$ and entropy of $|\hat f|^2$ larger than $\frac12\log n$.

翻译：本文是arXiv上一份早前笔记的简化版。我们构造了一个函数$f$：从$\{-1,1\}^n$到$\mathbb{C}$中单位圆盘上的映射，其影响有界于$1$，且$|\hat f|^2$的熵大于$\frac12\log n$。