Abstract
In order to obtain higher encryption efficiency, a bit-level quantum color image encryption scheme by exploiting quantum cross-exchange operation and a 5D hyper-chaotic system is designed. Additionally, to enhance the scrambling effect, the quantum channel swapping operation is employed to swap the gray values of corresponding pixels. The proposed color image encryption algorithm has larger key space and higher security since the 5D hyper-chaotic system has more complex dynamic behavior, better randomness and unpredictability than those based on low-dimensional hyper-chaotic systems. Simulations and theoretical analyses demonstrate that the presented bit-level quantum color image encryption scheme outperforms its classical counterparts in efficiency and security.











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Guan, Z.H., Huang, F.J., Guan, W.J.: Chaos-based image encryption algorithm. Phys. Lett. A 346(1–3), 153–157 (2005)
Gao, T.G., Chen, Z.: A new image encryption algorithm based on hyper-chaos. Phys. Lett. A 372(4), 394–400 (2008)
Hermassi, H., Rhouma, R., Belghith, S.: Improvement of an image encryption algorithm based on hyper-chaos. Telecommun. Syst. 52(2), 539–549 (2013)
Chen, Z.P., Li, H., Dong, E., et al.: A hyper-chaos based image encryption algorithm. In: International Conference on Intelligent Human-Machine Systems and Cybernetics, 2010, pp. 188–191 (2010)
El-Latif, A.A.A., Niu, X., Amin, M.: A new image cipher in time and frequency domains. Opt. Commun. 285(21–22), 4241–4251 (2012)
Zhu, Z.L., Zhang, W., Wong, K.W., et al.: A chaos-based symmetric image encryption scheme using a bit-level permutation. Inf. Sci. 181(6), 1171–1186 (2011)
Zhang, Y.Q., Wang, X.Y.: Analysis and improvement of a chaos-based symmetric image encryption scheme using a bit-level permutation. Nonlinear Dyn. 77(3), 687–698 (2014)
Zhou, N.R., Zhang, A.D., Zheng, F., et al.: Novel image compression–encryption hybrid algorithm based on key-controlled measurement matrix in compressive sensing. Opt. Laser Technol. 62(10), 152–160 (2014)
Zhou, N.R., Pan, S.M., Cheng, S., et al.: Image compression–encryption scheme based on hyper-chaotic system and 2D compressive sensing. Opt. Laser Technol. 82, 121–133 (2016)
Wang, X.Y., Teng, L., Qin, X.: A novel color image encryption algorithm based on chaos. Sig. Process. 92(4), 1101–1108 (2012)
Lang, J.: Color image encryption based on color blend and chaos permutation in the reality-preserving multiple-parameter fractional Fourier transform domain. Opt. Commun. 338(338), 181–192 (2015)
Khanzadi, H., Eshghi, M., Borujeni, S.E.: Image encryption using random bit sequence based on chaotic maps. Arab. J. Sci. Eng. 39(2), 1039–1047 (2014)
Yavuz, E., Yazıcı, R., Kasapbaşı, M.C., et al.: A chaos-based image encryption algorithm with simple logical functions. Comput. Electr. Eng. 54(C), 471–483 (2016)
Liu, H.J., Wang, X.: Color image encryption using spatial bit-level permutation and high-dimension chaotic system. Opt. Commun. 284(16–17), 3895–3903 (2011)
Zhou, N.R., Wang, Y.X., Gong, L.H., et al.: Novel single-channel color image encryption algorithm based on chaos and fractional Fourier transform. Opt. Commun. 284(12), 2789–2796 (2011)
Ekert, A., Jozsa, R.: Quantum computation and Shor’s factoring algorithm. Rev. Mod. Phys. 68(3), 733–753 (2008)
Caraiman, S., Manta, V.I.: Image segmentation on a quantum computer. Quantum Inf. Process. 14(5), 1693–1715 (2015)
Venegasandraca, S.E.: Storing, processing and retrieving an image using quantum mechanics. Proc. SPIE 5105(8), 1085–1090 (2003)
Le, P.Q., Dong, F., Hirota, K.: A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Quantum Inf. Process. 10(1), 63–84 (2011)
Zhang, Y., Lu, K., Gao, Y., et al.: NEQR: A novel enhanced quantum representation of digital images. Quantum Inf. Process. 12(8), 2833–2860 (2013)
Yuan, S.Z., Mao, X., Chen, L., et al.: Quantum digital image processing algorithms based on quantum measurement. Optik 124(23), 6386–6390 (2013)
Jiang, N., Wang, L.: Quantum image scaling using nearest neighbor interpolation. Quantum Inf. Process. 14(5), 1559–1571 (2015)
Sun, B., Le, P.Q., Iliyasu, A.M., et al.: A multi-channel representation for images on quantum computers using the RGBα color space. Int. Symp. Intell. Signal Process. 260(260), 1–6 (2011)
Abdolmaleky, M., Naseri, M., Batle, J., et al.: Red–green–blue multi-channel quantum representation of digital images. Optik Int. J. Light Electron Opt. 128, 121–132 (2016)
Wang, H., Wang, J., Geng, Y.C., et al.: Quantum image encryption based on iterative framework of frequency-spatial domain transforms. Int. J. Theor. Phys. 8, 1–21 (2017)
Zhou, N.R., Hua, T.X., Gong, L.H., et al.: Quantum image encryption based on generalized Arnold transform and double random-phase encoding. Quantum Inf. Process. 14(4), 1193–1213 (2015)
Jiang, N., Wu, W.Y., Wang, L.: The quantum realization of Arnold and Fibonacci image scrambling. Quantum Inf. Process. 13(5), 1223–1236 (2014)
Zhou, N.R., Hu, Y.Q., Gong, L.H., et al.: Quantum image encryption scheme with iterative generalized Arnold transforms and quantum image cycle shift operations. Quantum Inf. Process. 16(6), 164 (2017)
Jiang, N., Wang, L., Wang, L.: Analysis and improvement of the quantum Arnold image scrambling. Quantum Inf. Process. 13(7), 1545–1551 (2014)
Gong, L.H., He, X.T., Cheng, S., et al.: Quantum image encryption algorithm based on quantum image XOR operations. Int. J. Theor. Phys. 55(7), 3234–3250 (2016)
Yang, Y.G., Xia, J., Jia, X., et al.: Novel image encryption/decryption based on quantum Fourier transform and double phase encoding. Quantum Inf. Process. 12(11), 3477–3493 (2013)
Liang, H.R., Tao, X.Y., Zhou, N.R.: Quantum image encryption based on generalized affine transform and logistic map. Quantum Inf. Process. 15(7), 2701–2724 (2016)
Yang, Y.G., Tian, J., Lei, H., et al.: Novel quantum image encryption using one-dimensional quantum cellular automata. Inf. Sci. 345, 257–270 (2016)
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. Inf. Sci. 277(2), 445–457 (2014)
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. Int. J. Theor. Phys. 55, 1–17 (2016)
Liu, H., Jin, C.: A novel color image encryption algorithm based on quantum chaos sequence. 3D. Research 8(1), 4 (2017)
Vaidyanathan, S., Volos, C., Pham, V.T.: Hyper-chaos, adaptive control and synchronization of a novel 5D hyper-chaotic system with three positive Lyapunov exponents and its SPICE implementation. Arch. Control Sci. 24(4), 409–446 (2014)
Ahmad, J., Ahmed, F.: Efficiency analysis and security evaluation of image encryption schemes. Int. J. Video Image Process. Netw. Secure 12(4), 23 (2012)
Cao, Y., Qiu, R., Fu, Y.: Color image encryption based on hyper-chaos. In: International Congress on Image and Signal Processing, 2009, pp. 1–6
Song, X.H., Wang, S., Liu, S., et al.: A dynamic watermarking scheme for quantum images using quantum wavelet transform. Quantum Inf. Process. 12(12), 3689–3706 (2013)
Fan, H., Wang, Y.N., Jing, L., et al.: Quantum cloning machines and the applications. Phys. Rep. 544(3), 241–322 (2014)
Mayers, D.: Unconditional security in quantum cryptography. J. ACM 48(3), 351–406 (2001)
Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant Nos. 61462061 and 61561033), the China Scholarship Council (Grant No. 201606825042), the Department of Human Resources and Social security of Jiangxi Province, the Major Academic Discipline and Technical Leader of Jiangxi Province (Grant No. 20162BCB22011) and the Natural Science Foundation of Jiangxi Province (Grant No. 20171BAB202002).
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Zhou, N., Chen, W., Yan, X. et al. Bit-level quantum color image encryption scheme with quantum cross-exchange operation and hyper-chaotic system. Quantum Inf Process 17, 137 (2018). https://doi.org/10.1007/s11128-018-1902-1
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DOI: https://doi.org/10.1007/s11128-018-1902-1