We propose a novel method for image representation in quantum computers, which uses the two-dimensional (2-D) quantum states to locate each pixel in an image through row- location and column-location vectors for identifyng each pixel location. The quantum state of an image is the linear super- position of the tensor product of m-qubits row-location vector and n-qubits column-location vector of each pixel. It enables the natural quantum representation of rectangular images which other methods lack. The amplitude/intensity of each pixel is incorporated into the coefficient values of the pixel's quantum state, without using any qubits. The fact that linear superposi- tion, tensor product and qubits form the fundamental basis of quantum computing, the proposed method presents the machine level representation of images on quantum computers. Unlike other methods, the method is a pure quantum representation without any classical component or approach in it.
['Madhur Srivastava', 'Subhayan Roy Moulick', 'Prasanta K. Panigrahi']
Quantum Image Representation Through Two-Dimensional Quantum States and Normalized Amplitude