Abstract
Utilizing a stockpile of efficient transformations consisting of channel of interest, channel swapping, and quantum Fourier transforms, a duple watermarking strategy on multi-channel quantum images is proposed. It embeds the watermark image both into the spatial domain and the frequency domain of the multi-channel quantum carrier image, while also providing a quantum measurement-based algorithm to generate an unknown key that is used to protect the color information, which accompanies another key that is mainly used to scramble the spatial content of the watermark image in order to further safeguard the copyright of the carrier image. Simulation-based experiments using a watermark logo and nine building images as watermark image and carrier images, respectively, offer a duple protection for the copyright of carrier images in terms of the visible quality of the watermarked images. The proposed stratagem advances available literature in the quantum watermarking research field and sets the stage for the applications aimed at quantum data protection.














Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Al-Nu’aimi, A., Qahwaji, R.: Robust self embedding watermarking technique in the DWT domain for digital colored images. J. Digit. Inf. Manag. 5(4), 211–219 (2007)
Iliyasu, A.: Towards realising secure and efficient image and video processing applications on quantum computers. Entropy 15(8), 2874–2974 (2013)
Iliyasu, A., Le, P., Dong, F., Hirota, K.: Watermarking and authentication of quantum images based on restricted geometric transformations. Inf. Sci. 186(1), 126–149 (2012)
Iliyasu, A., Le, P., Yan, F., Sun, B., Garcia, J., Dong, F., Hirota, K.: Insights into the viability of using available photonic quantum technologies for efficient image and video processing applications. Int. J. Unconv. Comput. 9(1–2), 125–151 (2013)
Iliyasu, A., Le, P., Yan, F., Sun, B., Garcia, J., Dong, F., Hirota, K.: A two-tier scheme for greyscale quantum image watermarking and recovery. Int. J. Innov. Comput. Appl. 5(2), 85–101 (2013)
Iliyasu, A., Venegas-Andraca, S., Yan, F., Sayed, A.: Hybrid quantum-classical protocol for storage and retrieval of discrete-valued information. Entropy 16(6), 3537–3551 (2014)
Iliyasu, A.M., Le, P.Q., Dong, F., Hirota, K.: A framework for representing and producing movies on quantum computers. Int. J. Quantum Inf. 9(6), 1459–1497 (2011)
Jiang, Y., Wang, P., Gao, H., Cheng, J.: Research on the colored watermark embedding algorithm. J. Shenyang Ligong Univ. 30(2), 63–66 (2011)
Latorre, J.I.: Image compression and entanglement. arXiv:quant-ph/0510031 (2005)
Le, P., 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)
Le, P., Iliyasu, A., Dong, F., Hirota, K.: Fast geometric transformations on quantum images. IAENG Int. J. Appl. Math. 40(3), 113–123 (2010)
Le, P., Iliyasu, A., Dong, F., Hirota, K.: Efficient colour transformations on quantum image. J. Adv. Comput. Intell. Intell. Inf. 15(6), 698–706 (2011)
Luthon, F., Beaumesnil, B., Dubois, N.: Lux color transform for mosaic image rendering. IEEE Int. Conf. Autom. Qual. Test. Robot. 3, 1–6 (2010)
Machnes, S.: QLib-A Matlab package for quantum information theory calculations with applications. arXiv:0708.0478 (2007)
Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Song, X., Wang, S., Abd El-Latif, A., Niu, X.: Dynamic watermarking scheme for quantum images based on Hadamard transform. Multimed. Syst. 20(4), 379–388 (2014)
Song, X., Wang, S., Liu, S., Abd El-Latif, A., Niu, X.: A dynamic watermarking scheme for quantum images using quantum wavelet transform. Quantum Inf. Process. 12(2), 3689–3706 (2013)
Sun, B., Iliyasu, A., Yan. F., Garcia, J., Dong, F., Al-Asmari, A., Hirota, K.: Multi-channel information operations on quantum images. J. Adv. Comput. Intell. Intell. Inf. 18(2), 140–149 (2014)
Sun, B., Iliyasu, A., Yan, F., Dong, F., Hirota, K.: An RGB multi-channel representation for images on quantum computers. J. Adv. Comput. Intell. Intell. Inf. 17(3), 404–417 (2013)
Sun, B., Le, P., Iliyasu, A., Yan, F., Garcia, J., Dong, F., Hirota, K.: A multi-channel representation for images on quantum computers using the RGB\(\alpha \) color space. In: IEEE 7th international symposium on intelligent signal processing (WISP), pp. 1–6 (2011)
Venegas-Andraca, S., Bose, S.: Storing, processing and retrieving an image using quantum mechanics. Proc. SPIE Conf. Quantum Inf. Comput. 5105, 134–147 (2003)
Yan, F., Iliyasu, A., Fatichah, C., Tangel, M., Betancourt, J., Dong, F., Hirota, K.: Quantum image searching based on probability distributions. J. Quantum Inf. Sci. 2(3), 55–60 (2012)
Yan, F., Iliyasu, A., Jiang, Z.: Quantum computation-based image representation, processing operations and their applications. Entropy 16(10), 5290–5338 (2014)
Yan, F., Iliyasu, A., Le, P., Sun, B., Dong, F., Hirota, K.: A parallel comparison of multiple pairs of images on quantum computers. Int. J. Innov. Comput. Appl. 5(4), 199–212 (2013)
Yan, F., Le, P., Iliyasu, A., Sun, B., Garcia, J., Dong, F., Hirota, K.: Assessing the similarity of quantum images based on probability measurements. In: IEEE congress on evolutionary computation (CEC), pp. 1–6 (2012)
Yang, Y., Jia, X., Xu, P., Tian, J.: Analysis and improvement of the watermark strategy for quantum images based on quantum Fourier transform. Quantum Inf. Process. 12(8), 2765–2769 (2013)
Zhang, W., Gao, F., Liu, B., Jia, H.: A quantum watermark protocol. Int. J. Theor. Phys. 52(2), 504–513 (2013)
Zhang, W., Gao, F., Liu, B., Wen, Q., Chen, H.: A watermark strategy for quantum images based on quantum fourier transform. Quantum Inf. Process. 12(2), 793–803 (2013)
Acknowledgments
The study was sponsored in full by the Salman Bin Abdulaziz University Saudi Arabia via the Deanship for Scientific Research Project Number 2014/01/2079. SEVA gratefully acknowledges the financial support of Tecnológico de Monterrey—Escuela de Ciencias e Ingeniería and CONACyT (SNI member Number 41594). FY would like to acknowledge the suggestions and support of Dr. Jiajun Lu towards the successful completion of the work presented.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yan, F., Iliyasu, A.M., Sun, B. et al. A duple watermarking strategy for multi-channel quantum images. Quantum Inf Process 14, 1675–1692 (2015). https://doi.org/10.1007/s11128-014-0912-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-014-0912-x