基于量子比特相位的彩色圖像描述方法及應(yīng)用
doi: 10.11999/JEIT160303
基金項目:
國家自然科學(xué)基金(61170132)，黑龍江省自然科學(xué)基金(F2015021)，黑龍江省教育廳科學(xué)技術(shù)研究項目(12541059)
Quantum Bits Phase Based Representation and Application for Color Images
Funds:
The National Natural Science Foundation of China (61170132), The Natural Science Foundation of Heilongjiang Province, China (F2015021), The Scientific Technology Research Project of the Education Department of Heilongjiang Province, China (12541059)
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摘要: 為解決量子計算機(jī)上彩色圖像的描述及加密問題，該文提出一種基于量子比特相位旋轉(zhuǎn)的新方法。首先通過將像素灰度值映射為量子比特的相位，將彩色圖像描述成一個量子疊加態(tài)，其中基態(tài)描述像素的位置，而對應(yīng)的概率幅即為該像素的灰度值。然后基于量子比特的相位旋轉(zhuǎn)，設(shè)計了一些簡單的圖像處理方法。最后提出了一種新的彩色圖像加密算法，該算法包括像素位置的置亂和量子比特的旋轉(zhuǎn)兩個過程。所提方法可在將來的量子計算機(jī)上執(zhí)行。經(jīng)典計算機(jī)上的仿真結(jié)果驗證了方法的有效性。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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