Quantum Image Encryption Algorithm Incorporating Bit-plane Color Representation and Real Ket Model

Authors

  • Xv Zhou College of Science, Northeastern University, Shenyang, 110819, China
  • Jinwen He College of Science, Northeastern University, Shenyang, 110819, China

DOI:

https://doi.org/10.13052/jcsm2245-1439.1257

Keywords:

Quantum image encryption, Real Ket model, Chaotic system, Bit plane encryption

Abstract

Image is one of the most important carriers of information that humans transmit on a daily basis. Therefore, the security of images in the transmission process has been a key study subject. A quantum bit-plane representation of the Real Ket model (QBRK) is proposed, which requires 2n+4 and 2n+6 quantum bits to represent gray-scale and color images of 22n−k×2k size, respectively. On the basis of the QBRK model and chaotic system, an image encryption algorithm is proposed according to pixel position encoding for slice dislocation and quantum bit-plane XOR operation. First, we use a modified logistics chaos system to generate two matrices that perform matrix determinant transformations in the bit-plane. Then, we perform an XOR operation on the pixel values based on the parity bit-plane. Finally, the pixel diffusion is completed by permutation with each cut encoding in the QBRK model. According to the simulation outcomes and security analysis, the encryption algorithm is very efficient and well resists state-of-the-art attacks.

Downloads

Download data is not yet available.

Author Biographies

Xv Zhou, College of Science, Northeastern University, Shenyang, 110819, China

Xv Zhou is currently pursuing a bachelor’s degree in Mathematics at the School of Science, Northeastern University of China. Her current research areas include chaotic systems and quantum image encryption.

Jinwen He, College of Science, Northeastern University, Shenyang, 110819, China

Jinwen He is currently pursuing the Bachelor’s degree with the Department of Mathematics, College of Science, Northeastern University, Shenyang, China. Her current research interests include chaotic theory, chaos-based applications, and quantum image encryption.

References

Akhshani A, Akhavan A, Lim S C. An image encryption scheme based on quantum logistic map [J]. Communications in Nonlinear Science and Numerical Simulation, 2012, 17(12): 4653–4661.

Lu D J, He W Q, Peng X. Optical image encryption based on a radial shearing interferometer [J]. Journal of Optics, 2013, 15(10): 105405.

Shi Y S, Li T, Wang Y L, et al. Optical image encryption via ptychography [J]. Optics Letters, 2013, 38(9): 1425–1427.

Sun M J, Shi J H, Li H, et al. A simple optical encryption based on shape merging technique in periodic direction correlation imaging [J]. Optics Express, 2013, 21(16): 19395–19400.

Gao, X., Mou, J., Xiong, L., Sha, Y., Yan, H., Cao, Y. A fast and efficient multiple images encryption based on single-channel encryption and chaotic system. Nonlinear Dynamics 2022, 108, 613–636.

Ben Farah, M.A., Guesmi, R., Kachouri, A., Samet, M. A novel chaos based optical image encryption using fractional Fourier transform and DNA sequence operation. Optics And Laser Technology 2020, 121.

Murillo-Escobar, M.A., Cruz-Hernandez, C., Abundiz-Perez, F., Lopez-Gutierrez, R.M., Acosta Del Campo, O.R. A RGB image encryption algorithm based on total plain image characteristics and chaos. Signal Processing 2015, 109, 119–131. 155.

Gong, L., Qiu, K., Deng, C., Zhou, N. An image compression and encryption algorithm based on chaotic system and compressive sensing. Optics And Laser Technology 2019, 115, 25.

Latorre J I. Image compression and entanglement[J]. Computer Science, 2005.

Venegas-Andraca, S. Bose E. Storing, processing, and retrieving an image using quantum mechanics[C]. Proceedings of the SPIE Conference on Quantum Information and Computation, Orlando, 2003, 137–147.

Venegas-Andraca, S. E, Bose S. Quantum computation and image processing: new trends in artificial intelligence[C]. Proceedings of the International Congress on Artificial Intelligence, Acapulco, Mexico, 2003, 1563–1564.

J Fridrich. Symmetric ciphers based on two-dimensional chaotic maps. International Journal Of Bifurcation And Chaos, 8(6):1259–1284, Jun 1998.

Chengqing Li, David Arroyo, and Kwok-Tung Lo. Breaking a chaotic cryptographic scheme based on com-position maps. International Journal Of Bifurcation And Chaos, 20(8):2561–2568, Aug 2010.

Xingyuan Wang, Chuanming Liu, Dahai Xu, and Chongxin Liu. Image encryption scheme using chaos and simulated annealing algorithm. Nonlinear Dynamics, 84(3):1417–1429, May, 2016.

Le P Q, Dong F Y, 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 Y, Lu K, Gao Y H, et al. NEQR: A novel enhanced quantum representation of digital images [J]. Quantum Information Processing, 2013, 12(8): 2833–2860.

Sun B, Le P. Q, liyasu A. M., et al. A multi-channel representation for images on quantum computers using the RGBα

color space[C]. Intelligent Signal Processing (WISP), 2011 IEEE 7th International Symposium on. IEEE, 2011: 1–6.

Li, H.S., Chen, X., Xia, H., Liang, Y., Zhou, Z. A Quantum Image Representation Based on Bitplanes. IEEE Access 2018, 6, 62396–62404.

Wang Ling Research on quantum representation and encryption algorithm of color digital image [D] Heilongjiang: Harbin University of Technology, 2020.

A. Akhshani, A. Akhavan, S. C. Lim, and Z. Hassan, An image encryption scheme based on quantum logistic map. Communications In Nonlinear Science And Numerical Simulation 2012, 17, 4653–4661.

Akhshani, A., Akhavan, A., Lim, S.C., Hassan, Z. An image encryption scheme based on quantum logistic map. Communications In Nonlinear Science And Numerical Simulation 2012, 17, 4653–4661.

X. Wang, Y. Su, C. Luo, F. Nian, and L. Teng, Color image encryption algorithm based on hyperchaotic system and improved quantum revolving gate. Multimedia Tools And Applications 2022, 81, 13845–13865.

Lu Aiping Li Panchi Quantum Encryption Scheme for Color Images Based on Chaotic Sequences, 2021, 49(4): 692–697730. DOI: 10.3969/j.issn.1672-9722.2021.04.017.

Khorrampanah, M., Houshmand, M., Heravi, M.M.L. New method to encrypt RGB images using quantum computing. Optical And Quantum Electronics 2022, 54.

Qin, X., Liu, C. Color image encryption algorithm based on customized globally coupled map lattices. Multimedia Tools And Applications 2019, 78, 6191–6209.

Hosny, K.M., Kamal, S.T., Darwish, M.M. A color image encryption technique using block scrambling and chaos. Multimedia Tools And Applications 2022, 81, 505–525. 3.

Wang XY, Gao S (2020) Image encryption algorithm based on the matrix semi-tensor product with a compound secret key produced by a Boolean network. Inf Sci 539: 195–214.

Downloads

Published

2023-08-12

How to Cite

1.
Zhou X, He J. Quantum Image Encryption Algorithm Incorporating Bit-plane Color Representation and Real Ket Model. JCSANDM [Internet]. 2023 Aug. 12 [cited 2024 Nov. 22];12(05):757-84. Available from: https://journals.riverpublishers.com/index.php/JCSANDM/article/view/22287

Issue

Section

EIC Select