Quantum Image Representation Through Two-Dimensional Quantum States and Normalized Amplitude

In this paper, we have proposed a novel method of image representation on quantum computers. The proposed method uses the two-dimensional quantum states to locate each pixel in an image matrix with the normalized amplitude values of the image signal being coefficients of the quantum states. The two-dimensional quantum states are linear superposition of outer product of m-qubits row-location vector and n-qubits column-location vector of each pixel location in the image matrix. In classical systems, these quantum states are two-dimensional binary matrices having 1 at the targeted pixel location and 0 at the other pixel locations. The fact that linear superposition, tensor product and qubits form the fundamental basis of quantum computing, the proposed method presents the machine level representation of images on quantum computers.