论文标题
使用傅立叶变换和说明性示例的傅立叶变换的3 Quit圆量子卷积计算
3-Qubit Circular Quantum Convolution Computation using Fourier Transform with Illustrative Examples
论文作者
论文摘要
在这项工作中，我们描述了计算以3量叠加表示的信号的1-D圆形卷积的示例。当一个信号的离散傅立叶变换是已知并预先计算的，并且仅计算另一个信号的QFT时，考虑了该案例。许多线性时间存在系统和过滤器的频率特性是众所周知的。因此，所考虑的卷积方法可用于量子计算中这些系统。考虑理想的低通滤波器和高通滤波器，并提出了卷积的量子方案。傅立叶变换的方法与一个添加量子轴一起使用，以制备倒数量子傅立叶变换的量子叠加。
In this work, we describe examples for calculating the 1-D circular convolution of signals represented by 3-qubit superpositions. The case is considered, when the discrete Fourier transform of one of the signals is known and calculated in advance and only the QFT of another signal is calculated. The frequency characteristics of many linear time-invariant systems and filters are well known. Therefore, the considered method of convolution can be used for these systems in quantum computation. The ideal low pass and high pass filters are considered and quantum schemes for convolution are presented. The method of the Fourier transform is used with one addition qubit to prepare the quantum superposition for the inverse quantum Fourier transform.
