中文摘要：

量子理论是20世纪物理学取得的重大进展之一。近年来，量子理论和信息科学相结合产生了量子通信、量子计算等交叉学科。本文从信号处理的角度出发，介绍基于量子理论的信号、图像处理研究进展。首先介绍了有关量子理论的基础知识，然后分别介绍了量子信号处理、量子神经网络及量子图像处理三个方面的内容。并简述了量子理论在信号处理领域的发展前景。

英文摘要：

Quantum theory is one of the prominent progresses in physics in last century. This paper focuses on advances in signal and image processing methods based on quantum theory. Firstly, some basic quantum theoretical concepts are introduced. Then, quantum signal processing, quantum neural network and quantum image processing are discussed separately. Quantum signal processing is stressed since it is a different branch from others in quantum information theory. It only employs the idea of quantum measurement in signal processing but need not fulfill the algorithms on quantum computers. Several applications of quantum signal processing are discussed here. At last, the prospects in this area are described.