基于量子比特相位的彩色图像描述方法及应用

李盼池; 曹梓崎

doi:10.11999/JEIT160303

基于量子比特相位的彩色图像描述方法及应用

doi: 10.11999/JEIT160303

李盼池^1, ,,
曹梓崎¹

基金项目:

国家自然科学基金(61170132)，黑龙江省自然科学基金(F2015021)，黑龙江省教育厅科学技术研究项目(12541059)

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出版历程
- 收稿日期: 2016-03-31
- 修回日期: 2016-08-23
- 刊出日期: 2017-02-19

Quantum Bits Phase Based Representation and Application for Color Images

LI Panchi^{1
, ,},
CAO Ziqi¹

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)

摘要

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。
- 图像处理 /
- 量子图像描述 /
- 量子图像处理 /
- 量子图像加密
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.
- Image processing /
- Quantum image representing /
- Quantum image processing /
- Quantum image encrypting

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参考文献(16)

HOI-KWONG L. Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity[J]. Physical Review A, 2000, 62(1): 012313. doi: 10.1103/PhysRevA.62.012313.

BEACH G, LOMONT C, and COHEN C. Quantum Image Processing (QuIP)[C]. Proceedings of the Thirty-second Applied Imagery Pattern Recognition Workshop, Washington, D.C., USA, 2003: 39-44.

CARAIMAN S and MANTA V. Image processing using quantum computing[C]. Proceedings of the Sixteenth International Conference on System Theory, Control and Computing, Washington, D.C., USA, 2012: 1-6.

VENEGAS-ANDRACA S E and BALL J L. Processing images in entangled quantum systems[J]. Quantum Information Processing, 2010, 9(1): 1-11.

VENEGAS-ANDRACA S E and BOSE S. Storing, processing and retrieving an image using quantum mechanics [C]. Proceedings of the SPIE Quantum Information and Computation, Washington, D.C., USA, 2003: 137-147.

LE P Q, DONG Fangyan, and HIROTA K. A flexible representation of quantum images for polynomial preparation, image compression, and processing operations[J]. Quantum Information Processing, 2011, 10(1): 63-84.

ZHANG Yi, LU Kai, GAO Yinghui, et al. NEQR: A novel enhanced quantum representation of digital images[J]. Quantum Information Processing, 2013, 12(8): 2833-2860.

ZHANG Yi, LU Kai, GAO Yinghui, et al. A novel quantum representation for log polar images[J]. Quantum Information Processing, 2013, 12(9): 3103-3126.

HU Benqiong, HUANG Xudong, ZHOU Rigui, et al. A theoretical framework for quantum image representation and data loading scheme[J]. Science China Information Sciences, 2014, 57(3): 032108.

LI Haisheng, ZHU Qingxin, ZHOU Rigui, et al. Multidimensional color image storage, retrieval, and compression based on quantum amplitudes and phases[J]. Information Sciences, 2014, 273(3): 212232.

ILIYASU A M, LE P Q, DONG Fangyan, et al. Watermarking and authentication of quantum images based on restricted geometric transformations[J]. Information Sciences, 2012, 186(1): 126-149.

YANG Yuguang, JIA Xin, XU Peng, et al. Analysis and improvement of the watermark strategy for quantum images based on quantum Fourier transform[J]. Quantum Information Processing, 2013, 12(8): 2765-2769.

YANG Yuguang, XU Peng, TIAN Ju, et al. Analysis and improvement of the dynamic watermarking scheme for quantum images using quantum wavelet transform[J]. Quantum Information Processing, 2014, 13(9): 1931-1936.

YANG Yuguang, XIA Juan, JIA Xin, et al. Novel image encryption/decryption based on quantum Fourier transform and double phase encoding[J]. Quantum Information Processing, 2013, 12(11): 3477-3493.

YANG Yuguang, JIA Xin, SUN Sijia, et al. Quantum cryptographic algorithm for color images using quantum Fourier transform and double random-phase encoding[J]. Information Sciences, 2014, 277(1): 445-457.

ZHOU Rigui, WU Qian, ZHANG Manqun, et al. Quantum image encryption and decryption algorithms based on quantum image geometric transformations[J]. International Journal of Theoretical Physics, 2013, 52(6): 1802-1817.

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