Calculating the 1-D circular of signals represented by 3-qubit superpositions

3-Qubit Circular Quantum Convolution Computation using Fourier Transform with Illustrative Examples

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 knownand calculated in advance and only the quantum fourier transform of another signal is calculated.The ideal low pass and high pass filters are considered and quantum schemes for convolution are presented.