Quantum Bits Phase Based Representation and Application for Color Images
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摘要: 为解决量子计算机上彩色图像的描述及加密问题，该文提出一种基于量子比特相位旋转的新方法。首先通过将像素灰度值映射为量子比特的相位，将彩色图像描述成一个量子叠加态，其中基态描述像素的位置，而对应的概率幅即为该像素的灰度值。然后基于量子比特的相位旋转，设计了一些简单的图像处理方法。最后提出了一种新的彩色图像加密算法，该算法包括像素位置的置乱和量子比特的旋转两个过程。所提方法可在将来的量子计算机上执行。经典计算机上的仿真结果验证了方法的有效性。Abstract: To address the problem of the description and encryption of color images on the quantum computer, a new method based on the phase rotation of qubit is proposed. Firstly, the color image is described as a quantum superposition state by mapping the pixel gray value to the phase of the qubit, where the ground state denotes the position of the pixel, and the corresponding probability amplitude denotes the gray value of the pixel. Then, based on the phase rotation of the qubit, some simple image processing methods are designed. Finally, a new color image encryption algorithm is proposed, which consists of two processes: the scrambling of the pixel position and the rotation of the qubits. The proposed method can be run on quantum computers in the future. The simulation results on the classic computer show that the method is effective.
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