The image
security problem is an important area in information security, and image
encryption plays a vital role in this day. To protect the image encryption from
the attack of quantum algorithm appeared recently, an image encryption method based
on quantum Fourier transformation is proposed here. First, the image encryption
and Fourier transformation are discussed here, then a encryption function is
proposed. Second, a quantum Fourier transformation is introduced to quantum
encryption, and the full step of quantum encryption is given as well. Third,
the security of the proposed quantum encryption if analyzed, and some
propositionsare also presented. Lastly, some conclusions are indicated and some possible
directions are also listed.
References
[1]
Wang, X.Y., Liu, L.T. and Zhang, Y.Q. (2015) A Novel Chaotic Block Image Encryption Algorithm Based on Dynamic Random Growth Technique. Optics and Lasers in Engineering, 66, 10-18. https://doi.org/10.1016/j.optlaseng.2014.08.005
[2]
Hua, Z.Y., Zhou, Y.C. and Pun, C.-M. (2015) 2D Sine Logistic Modulation Map for Image Encryption. Information Sciences, 297, 80-94.
https://doi.org/10.1016/j.ins.2014.11.018
[3]
Zhang, Y.-Q. and Wang, X.-Y. (2015) A New Image Encryption Algorithm Based on Non-Adjacent Coupled Map Lattices. Applied Soft Computing, 26, 10-20.
https://doi.org/10.1016/j.asoc.2014.09.039
[4]
Wang, X.-Y., Zhang, Y.-Q. and Bao, X.-M. (2015) A Novel Chaotic Image Encryption Scheme Using DNA Sequence Operations. Optics and Lasers in Engineering, 73, 53-61. https://doi.org/10.1016/j.optlaseng.2015.03.022
[5]
Toughi, S., Fathi, M.H. and Sekhavat, Y.A. (2017) An Image Encryption Scheme Based on Elliptic Curve Pseudo Random and Advanced Encryption System. Signal Processing, 141, 217-227. https://doi.org/10.1016/j.sigpro.2017.06.010
[6]
Wu, J.H., Liao, X.F. and Yang, B. (2017) Color Image Encryption Based on Chaotic Systems and Elliptic Curve ElGamal Scheme. Signal Processing, 141, 109-124.
https://doi.org/10.1016/j.sigpro.2017.04.006
[7]
Mohammed, E.A. and Saadon, H.L. (2016) Optical Double-Image Encryption and Authentication by Sparse Representation. Applied Optics, 55, 9939-9944.
https://doi.org/10.1364/AO.55.009939
[8]
Liu, L.F., Miao, S.X., Hu, H.P. (2016) N-Phase Logistic Chaotic Sequence and Its Application for Image Encryption. IET Signal Processing, 10, 1096-1104.
https://doi.org/10.1049/iet-spr.2015.0522
[9]
Chen, W.-H., Luo, S.X. and Zheng, W.X. (2016) Impulsive Synchronization of Reaction-Diffusion Neural Networks with Mixed Delays and Its Application to Image Encryption. IEEE Transactions on Neural Networks and Learning Systems, 27, 2696-2710. https://doi.org/10.1109/TNNLS.2015.2512849
[10]
Wang, H., Wang, J. and Geng, Y.-C. (2017) Quantum Image Encryption Based on Iterative Framework of Frequency-Spatial Domain Transforms. International Journal of Theoretical Physics, 56, 3029-3049.
https://doi.org/10.1007/s10773-017-3469-5
[11]
Tan, R.-C., Lei, T. and Zhao, Q.-M. (2016) Quantum Color Image Encryption Algorithm Based on A Hyper-Chaotic System and Quantum Fourier Transform. International Journal of Theoretical Physics, 55, 5368-5384.
https://doi.org/10.1007/s10773-016-3157-x
[12]
Wang, Y.-Q., She, K. and Huang, R.-F. (2016) Optimal Symmetric Ternary Quantum Encryption Schemes. International Journal of Theoretical Physics, 55, 4709-4722. https://doi.org/10.1007/s10773-016-3094-8
[13]
Gong, L.-H., He, X.-T. and Cheng, S. (2016) Quantum Image Encryption Algorithm Based on Quantum Image XOR Operations. International Journal of Theoretical Physics, 55, 4631-4632. https://doi.org/10.1007/s10773-016-3107-7
Zhou, N.R., Hua, T.X. and Gong, L.H. (2015) Quantum Image Encryption Based on Generalized Arnold Transform and Double Random-Phase Encoding. Quantum Information Processing, 14, 1193-1213. https://doi.org/10.1007/s11128-015-0926-z
[16]
Lv, C.-H., Fan, H.-Y. and Li, D.-W. (2015) From Fractional Fourier Transformation to Quantum Mechanical Fractional Squeezing Transformation. Chinese Physics B, 24, 020301. https://doi.org/10.1088/1674-1056/24/2/020301
