论文标题
有限的傅立叶变换和投影2设计
The finite Fourier Transform and projective 2-designs
论文作者
论文摘要
有几种方法可以定义有限的傅立叶变换的特征向量分解，这在某种意义上是独一无二的，充其量与量子谐波振荡器的特征状态相似。 Balian和Itzykson在1986年给出的解决方案d = 3（mod 4）。据表明，通过将Weyl-Heisenberg矩阵应用于该特征向量基础，可以生成一个投影的2Design。
There are several approaches to define an eigenvector decomposition of the finite Fourier Transform, which is in some sense unique, and at best resembles the eigenstates of the quantum harmonic oscillator. A solution given by Balian and Itzykson in 1986 for prime dimensions d = 3 (mod 4) is revisited. It is shown, that by applying the Weyl-Heisenberg matrices to this eigenvector basis, a projective 2-design is generated.
