Citation: | FAN Ping, SHEN Zheng. Quantum Color Image Encryption Scheme Based on Bit-plane Decomposition[J]. Journal of Beijing University of Technology, 2024, 50(7): 832-844. DOI: 10.11936/bjutxb2022110009 |
Although the general quantum image encryption algorithm can achieve the encryption effect, it requires more qubits and higher computational complexity. To optimize this problem, this paper proposes a quantum color image encryption scheme based on bit-plane decomposition. First, a quantum representation model of color digital image (QRCI) with the information of bit plane order separately encoded was used to represent the image, and a qubit exchange operation was designed by quantum exchange gate and applied to the color image. The image pixels were scrambled. At the same time, the color channel exchange was performed on the image. Second, the sequence of bit planes was reversed to further enhance the scrambling effect. Afterwards, the hash value generated by secure hash algorithm 256(SHA-256) was used to determine the initial value of the chaotic system. Finally, the sequence generated by the chaotic system was used to diffuse the image, complete the encryption process, and form the encrypted image. Numerical analysis shows that compared with the previous encryption schemes, the proposed scheme greatly reduces the number of qubits required for color image storage, and has large key space and high sensitivity. Simulation results show that the scheme has good encryption effect and can resist most common attacks.
[1] |
孙光民, 王皓. 基于魔方密码的图像加密解密技术[J]. 北京工业大学学报, 2021, 47(8): 833-841. doi: 10.11936/bjutxb2020120003
SUN G M, WANG H. Image encryption and decryption technology based on Rubik's cube and dynamic password[J]. Journal of Beijing University of Technology, 2021, 47(8): 833-841. (in Chinese) doi: 10.11936/bjutxb2020120003
|
[2] |
AKHSHANI A, AKHAVAN A, LIM S C, et al. An image encryption scheme based on quantum logistic map[J]. Communications in Nonlinear Science and Numerical Simulation, 2012, 17(12): 4653-4661. doi: 10.1016/j.cnsns.2012.05.033
|
[3] |
SEYEDZADEH S M, NOROUZI B, MOSAVI M R, et al. A novel color image encryption algorithm based on spatial permutation and quantum chaotic map[J]. Nonlinear Dynamics, 2015, 81(1): 511-529.
|
[4] |
TAN R C, LEI T, ZHAO Q M, et al. Quantum color image encryption algorithm based on a hyper-chaotic system and quantum Fourier transform[J]. International Journal of Theoretical Physics, 2016, 55(12): 5368-5384. doi: 10.1007/s10773-016-3157-x
|
[5] |
LI L, ABD-EL-Atty B, ABD EL-LATIF A A, et al. Quantum color image encryption based on multiple discrete chaotic systems[C]//2017 Federated Conference on Computer Science and Information Systems. Piscataway, NJ: IEEE, 2017: 555-559.
|
[6] |
RAN Q W, WANG L, MA J, et al. A quantum color image encryption scheme based on coupled hyper-chaotic lorenz system with three impulse injections[J/OL]. Quantum Information Processing, 2018, 17: 188[2024-02-27]. https://link.springer.com/article/10.1007/s11128-018-1958-y.
|
[7] |
ZHOU N R, CHEN W W, YAN X Y, et al. Bit-level quantum color image encryption scheme with quantum cross-exchange operation and hyper-chaotic system[J/OL]. Quantum Information Processing, 2018, 17: 137[2024-02-27]. https://link.springer.com/article/10.1007/s11128-018-1902-1.
|
[8] |
LUO Y L, TANG S B, LIU J X, et al. Image encryption scheme by combining the hyper-chaotic system with quantum coding[J/OL]. Optics and Lasers in Engineering, 2020, 124: 105836[2024-02-27]. https://linkinghub.elsevier.com/retrieve/pii/S0143816619305767.
|
[9] |
WANG X Y, SU Y N, LUO C, et al. Color image encryption algorithm based on hyperchaotic system and improved quantum revolving gate[J/OL]. Multimedia Tools and Applications, 2022, 81: 13845-13865[2024-02-27]. https://link.springer.com/article/10.1007/s11042-022-12220-8.
|
[10] |
王玲. 彩色数字图像的量子表示及加密算法研究[D]. 哈尔滨: 哈尔滨工业大学, 2020: 65-84.
WANG L. Research on quantum representation and encryption algorithm of color digital image[D]. Harbin: Harbin Institute of Technology, 2020: 65-84. (in Chinese)
|
[11] |
蔡俊, 陈昕, 向旭东. 一种基于混沌的代换-置换结构图像加密算法[J]. 计算机科学, 2014, 41(9): 158-164. https://www.cnki.com.cn/Article/CJFDTOTAL-JSJA201409032.htm
CAI J, CHEN X, XIANG X D. Substitution permutation network structured image encryption algorithm based on chaos map[J]. Computer Science, 2014, 41(9): 158-164. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JSJA201409032.htm
|
[12] |
GILBERT H, HANDSCHUH H. Security analysis of SHA-256 and sisters[C] //International Workshop on Selected Areas in Cryptography. Berlin: Springer, 2003: 175-193.
|
[13] |
邵慧婷, 杨启贵. 具有4个正Lyapunov指数的六维超混沌系统的复杂动力学研究[J]. 广西师范大学学报(自然科学版), 2022, 40(5): 433-444. https://www.cnki.com.cn/Article/CJFDTOTAL-GXSF202205033.htm
SHAO H T, YANG Q G. Complex dynamics of a six-dimensional hyperchaotic system with four positive Lyapunov exponents[J]. Journal of Guangxi Normal University (Natural Science Edition), 2022, 40(5): 433-444. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GXSF202205033.htm
|
[14] |
余志均. 基于三维混沌系统的图像加密算法研究[D]. 武汉: 中南财经政法大学, 2019: 38-39.
YU Z J. The novel image encryption scheme based on three-dimensional chaotic system[D]. Wuhan: Zhongnan University of Economics and Law, 2019: 38-39. (in Chinese)
|
[15] |
KUMAR PATRO K A K, ACHARYA B. An efficient colour image encryption scheme based on 1-D chaotic maps[J/OL]. Journal of Information Security and Applications, 2019, 46: 23-41[2024-02-21]. https://linkinghub.elsevier.com/retrieve/pii/S2214212618304034.
|
[16] |
焦铬. 基于多混沌映射的图像数据安全与可靠性研究[D]. 衡阳: 南华大学, 2019: 59-61.
JIAO G. Studies on image data safty and reliability based on multi-chaotic mapping[D]. Hengyang: University of South China, 2019: 59-61. (in Chinese)
|
[17] |
WANG X Y, YANG J J. A privacy image encryption algorithm based on piecewise coupled map lattice with multi dynamic coupling coefficient[J/OL]. Information Sciences, 2021, 569: 217-240[2024-02-27]. https://linkinghub.elsevier.com/retrieve/pii/S0020025521003340.
|
[18] |
WU T, WANG S D, ZHAO K, et al. Hyperchaotic encryption algorithm based on joseph traversal and bit plane reconstruction[C]//Bio-Inspired Computing: Theories and Applications. Berlin: Springer, 2021: 90-105.
|
[19] |
YANG Y G, JIA X, SUN S J, et al. Quantum cryptographic algorithm for color images using quantum Fourier transform and double random-phase encoding[J/OL]. Information Sciences, 2014, 277: 445-457[2024-02-27]. https://linkinghub.elsevier.com/retrieve/pii/S0020025514002308.
|
[20] |
CHEN J, ZHU Z, FU C, et al. A fast image encryption scheme with a novel pixel swapping-based confusion approach[J]. Nonlinear Dynamics, 2014, 77(4): 1191-1207. doi: 10.1007/s11071-014-1370-9
|
[21] |
韩继田. 基于混沌和DNA编码的图像加密算法研究[D]. 兰州: 兰州理工大学, 2020: 50-51.
HAN J T. Research on image encryption algorithm based on chaos and DNA coding[D]. Lanzhou: Lanzhou University of Technology, 2020: 50-51. (in Chinese)
|
[22] |
LI P C, ZHAO Y. A simple encryption algorithm for quantum color image[J/OL]. International Journal of Theoretical Physics, 2017, 56(6): 1961-1982[2024-02-27]. https://link.springer.com/article/10.1007/s10773-017-3341-7.
|
[23] |
SANG J Z, WANG S, LI Q. A novel quantum representation of color digital images[J/OL]. Quantum Information Processing, 2017, 16: 42[2024-02-27]. https://link.springer.com/article/10.1007/s11128-016-1463-0.
|
[24] |
ABDOLMALEKY M, NASERI M, BATLE J, et al. Red-green-blue multi-channel quantum representation of digital images[J]. Optik, 2017, 128: 121-132. doi: 10.1016/j.ijleo.2016.09.123
|
[1] | LI Dekui. Application for Function Projection Synchronization of the Hyper-chaotic System in Image Encryption[J]. Journal of Beijing University of Technology, 2019, 45(1): 24-32. DOI: 10.11936/bjutxb2018020027 |
[2] | DONG Zhi-hua, ZHU Yuan-chang, DI Yan-qiang. Multi-architecture System Interoperability Approach Using Common Data Exchange Model[J]. Journal of Beijing University of Technology, 2015, 41(1): 60-67. DOI: 10.11936/bjutxb2014040046 |
[3] | WANG Rui-hua, WANG Pu. Steady-state Modeling and Parameter Estimation of Isolated Heat Pipe Heat-exchange Energy-saving System[J]. Journal of Beijing University of Technology, 2013, 39(6): 835-839. DOI: 10.3969/j.issn.0254-0037.2013.06.007 |
[4] | WANG Rui-hua, WANG Pu. Determination of Steady-state of an Isolated Heat-pipe Heat Exchange Energy Conservation System[J]. Journal of Beijing University of Technology, 2012, 38(12): 1786-1791. DOI: 10.3969/j.issn.0254-0037.2012.12.005 |
[5] | LIU Jin-wei, HUANG Zhang-qin, HOU Yi-bin, HUO Si-jia, WANG Jin-jia. Design of the Library Function of Performance Analysis on Speech Recognition Based on System C[J]. Journal of Beijing University of Technology, 2009, 35(4): 537-542. DOI: 10.3969/j.issn.0254-0037.2009.04.020 |
[6] | QIAO Feng, LIN Ping-fen, YU John. Flash File System Based on Vxworks[J]. Journal of Beijing University of Technology, 2005, 31(5): 543-548. DOI: 10.3969/j.issn.0254-0037.2005.05.021 |
[7] | YIN Bao-cai, SU Shi-qian. Design of Face Image Retrieval System[J]. Journal of Beijing University of Technology, 2005, 31(4): 337-341. DOI: 10.3969/j.issn.0254-0037.2005.04.001 |
[8] | SHEN Yi, HUA Feng, LIU Chun-nian. Improvement of FOIL System Based on GDT[J]. Journal of Beijing University of Technology, 2005, 31(2): 204-209. DOI: 10.3969/j.issn.0254-0037.2005.02.020 |
[9] | BAO Zhen-shan, XIAN Xiao-bing, LIU Hui-zhen. Multi-channel Real-time Moniter and Data Query-analysis System in Pectic Fibre Production[J]. Journal of Beijing University of Technology, 2003, 29(2): 234-236. DOI: 10.3969/j.issn.0254-0037.2003.02.028 |
[10] | Wang Xu, Han Furong. Quality System Auditing Expert System[J]. Journal of Beijing University of Technology, 1994, 20(2): 91-95. |
1. |
王瑞晴,巫朝霞. 基于超混沌系统与位平面置乱的彩色图像加密算法研究. 信息记录材料. 2025(02): 171-174+211 .
![]() |