Quantum image scaling based on bilinear interpolation with arbitrary scaling ratio

In recent years, quantum image scaling considered as one of the most common and basic operations in quantum image processing has been widely studied. In this paper, quantum algorithm based on bilinear interpolation with arbitrary scaling ratio is proposed to resize quantum images. Firstly, a quantum image with arbitrary size HxW is described by the generalized quantum image representation. Then, bilinear interpolation is used to create new pixels (when scaling up) or delete redundant pixels (when scaling down). By utilizing the quantum operations that have been designed, the concrete circuits of quantum image scaling algorithm with arbitrary scaling ratio are implemented. Finally, the network complexity of the quantum circuits based on the basic quantum gates is analyzed and the simulation results based on the classical computer's MATLAB software are given.