Asymmetric scaling of a quantum image based on bilinear interpolation with arbitrary scaling ratio

As a branch of quantum image processing, the quantum image scaling has been widely studied in the recent years. In this paper, an asymmetric scaling for quantum image with arbitrary scaling ratio is proposed. Firstly, the generalized quantum image representation is employed to represent a quantum image of arbitrary size HxW, and the bilinear interpolation is utilized to obtain the interpolated image. Then, the quantum circuit of the quantum image scaling algorithm with different scaling ratios in two dimensions is designed. Finally, the network complexity and simulation results of the two scaling methods are analyzed. The final result shows that the proposed scheme is a quadratic function, which is much lower than the cubic function and exponential function of other bilinear interpolation schemes.