Quantum Fourier Transform in Image Processing

This paper presents an approach to apply quantum Fourier transform (QFT) to image processing using quantum computing. The use of quantum computing for image analysis and processing is becoming increasingly relevant in modern science and technology. A quantum QFT circuit is presented, implemented using the Qiskit framework, which is a tool for programming quantum computers. The paper presents the basic steps of QFT and their application to a state vector representing the pixel intensities of an image. The influence of quantum transformation on the image structure is studied and the results are presented in the form of graphs and visualizations. In addition, we have introduced QFT quantum circuit inference capabilities for a more visual representation of the algorithm. The results highlight the potential of quantum computing in the field of image processing and open new prospects for the use of quantum technologies in the field of computer vision.