An anti-aliasing filtering of quantum images in spatial domain using a pyramid structure  

作　　者：吴凯 周日贵 罗佳 Kai Wu;Rigui Zhou;Jia Luo(College of Information Engineering,Shanghai Maritime University,Shanghai 201306,China;Research Center of Intelligent Information Processing and Quantum Intelligent Computing,Shanghai 201306,China;School of Mathematics and Computational Science,Shangrao Normal University,Shangrao 334001,China)

机构地区：[1]College of Information Engineering,Shanghai Maritime University,Shanghai 201306,China [2]Research Center of Intelligent Information Processing and Quantum Intelligent Computing,Shanghai 201306,China [3]School of Mathematics and Computational Science,Shangrao Normal University,Shangrao 334001,China

出　　处：《Chinese Physics B》2024年第5期223-237,共15页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.62172268 and 62302289);the Shanghai Science and Technology Project(Grant Nos.21JC1402800 and 23YF1416200)。

摘　　要：As a part of quantum image processing,quantum image filtering is a crucial technology in the development of quantum computing.Low-pass filtering can effectively achieve anti-aliasing effects on images.Currently,most quantum image filterings are based on classical domains and grayscale images,and there are relatively fewer studies on anti-aliasing in the quantum domain.This paper proposes a scheme for anti-aliasing filtering based on quantum grayscale and color image scaling in the spatial domain.It achieves the effect of anti-aliasing filtering on quantum images during the scaling process.First,we use the novel enhanced quantum representation(NEQR)and the improved quantum representation of color images(INCQI)to represent classical images.Since aliasing phenomena are more pronounced when images are scaled down,this paper focuses only on the anti-aliasing effects in the case of reduction.Subsequently,we perform anti-aliasing filtering on the quantum representation of the original image and then use bilinear interpolation to scale down the image,achieving the anti-aliasing effect.The constructed pyramid model is then used to select an appropriate image for upscaling to the original image size.Finally,the complexity of the circuit is analyzed.Compared to the images experiencing aliasing effects solely due to scaling,applying anti-aliasing filtering to the images results in smoother and clearer outputs.Additionally,the anti-aliasing filtering allows for manual intervention to select the desired level of image smoothness.

关 键 词：quantum color image processing anti-aliasing filtering algorithm quantum multiplier pyramid model 

分 类 号：O413[理学—理论物理] TP38[理学—物理] TP391.41[自动化与计算机技术—计算机系统结构]