Quantum Digital Image in Matlab

Abstract

In this paper, quantum digitalnbsp;image processing algorithmsnbsp;based on quantum measurement are proposed, which consist of quantum image edgenbsp;detection algorithmnbsp;and quantum adaptivenbsp;median filteringnbsp;algorithm. These algorithms follow the quantum signal algorithm framework: First, the pixel of input image is transformed intonbsp;qubit statenbsp;representation. In this process, a pixel is transformed into single qubit state representation in quantum image edge detection algorithm, while in quantum adaptive median filtering algorithm a pixel is transformed into dual qubits state representation. Dual qubits state has four basis vectors, which can reflect more information of the represented pixel. Thus the represented pixel can be manipulated more accurately. Second, the quantum measurement outcomes are obtained based on quantum measurement postulate. Third, the quantum measurement outcomes are transformed into the algorithm outcomes. In the final part, experiments are performed to compare our method with conventional methods.