Abstract: The grey scale of the pixels in image is expressed by quantum bit and the relation between two pixels is described by means of the superposition of two quantum bit in this paper.Based on this，the average of linear hermitian operator in this superposition can be used for judging the edge of image and a new method for edge detection of image is so created.The rationality of the method is interpreted by probability theory here.A function of this new edge detecting method to compensate defect of human’s vision is proved theoretically and is verified in computer simulation.The edge caused by tiny change in grey scale of pixel in high or low grey scale area of image can be detected by using this method.

摘要： 利用量子比特表示图像像素的灰度，用双量子位叠加态来描述两像素之间的关联，通过线性厄米算符在该量子叠加态中的平均值来判断像素的边缘特征，由此建立了一种新的图像边缘检测方法，并从概率论的角度对该方法的合理性给予解释。理论和计算机仿真结果均表明该方法具有视觉补偿功能，能检测出图像中高亮度和低亮度区域的灰度微弱变化引起的边缘效应。