A Spatial Domain Quantum Watermarking Scheme

This paper presents a spatial domain quantum watermarking scheme. For a quantum watermarking scheme, a feasible quantum circuit is a key to achieve it. This paper gives a feasible quantum circuit for the presented scheme. In order to give the quantum circuit, a new quantum multi-control rotation gate, which can be achieved with quantum basic gates, is designed. With this quantum circuit, our scheme can arbitrarily control the embedding position of watermark images on carrier images with the aid of auxiliary qubits. Besides reversely acting the given quantum circuit, the paper gives another watermark extracting algorithm based on quantum measurements. Moreover, this paper also gives a new quantum image scrambling method and its quantum circuit. Differ from other quantum watermarking schemes, all given quantum circuits can be implemented with basic quantum gates. Moreover, the scheme is a spatial domain watermarking scheme, and is not based on any transform algorithm on quantum images. Meanwhile, it can make sure the watermark be secure even though the watermark has been found. With the given quantum circuit, this paper implements simulation experiments for the presented scheme. The experimental result shows that the scheme does well in the visual quality and the embedding capacity.

[1]  Naixue Xiong,et al.  Steganalysis of LSB matching using differences between nonadjacent pixels , 2016, Multimedia Tools and Applications.

[2]  Qingxin Zhu,et al.  Image storage, retrieval, compression and segmentation in a quantum system , 2013, Quantum Inf. Process..

[3]  Kai Xu,et al.  A novel quantum representation for log-polar images , 2013, Quantum Information Processing.

[4]  Nan Jiang,et al.  Quantum Hilbert Image Scrambling , 2014 .

[5]  Nan-Run Zhou,et al.  Quantum image encryption based on generalized affine transform and logistic map , 2016, Quantum Information Processing.

[6]  Kaoru Hirota,et al.  Watermarking and authentication of quantum images based on restricted geometric transformations , 2012, Inf. Sci..

[7]  Hui Chen,et al.  A watermark strategy for quantum images based on quantum fourier transform , 2012, Quantum Information Processing.

[8]  Mosayeb Naseri,et al.  Quantum Watermarking Using Entanglement Swapping , 2012, International Journal of Theoretical Physics.

[9]  Kai Lu,et al.  NEQR: a novel enhanced quantum representation of digital images , 2013, Quantum Information Processing.

[10]  Mansour Jamzad,et al.  Estimating Watermarking Capacity in Gray Scale Images Based on Image Complexity , 2010, EURASIP J. Adv. Signal Process..

[11]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[12]  Wenquan Zhang,et al.  Quantum Image Encryption Algorithm Based on Image Correlation Decomposition , 2014, International Journal of Theoretical Physics.

[13]  Sougato Bose,et al.  Storing, processing, and retrieving an image using quantum mechanics , 2003, SPIE Defense + Commercial Sensing.

[14]  Ahmed A. Abd El-Latif,et al.  Dynamic watermarking scheme for quantum images based on Hadamard transform , 2014, Multimedia Systems.

[15]  Kaoru Hirota,et al.  A flexible representation of quantum images for polynomial preparation, image compression, and processing operations , 2011, Quantum Inf. Process..

[16]  Abdullah M. Iliyasu,et al.  Strategies for designing geometric transformations on quantum images , 2011, Theor. Comput. Sci..

[17]  Peng Xu,et al.  Analysis and improvement of the dynamic watermarking scheme for quantum images using quantum wavelet transform , 2014, Quantum Inf. Process..

[18]  Peng Xu,et al.  Analysis and improvement of the watermark strategy for quantum images based on quantum Fourier transform , 2013, Quantum Inf. Process..

[19]  Gang Chen,et al.  Color Image Analysis by Quaternion-Type Moments , 2014, Journal of Mathematical Imaging and Vision.

[20]  Lihua Gong,et al.  Quantum image encryption based on generalized Arnold transform and double random-phase encoding , 2015, Quantum Information Processing.

[21]  Nan Jiang,et al.  Quantum image translation , 2015, Quantum Inf. Process..

[22]  Barenco,et al.  Elementary gates for quantum computation. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[23]  Ahmed A. Abd El-Latif,et al.  A dynamic watermarking scheme for quantum images using quantum wavelet transform , 2013, Quantum Information Processing.

[24]  Nan Jiang,et al.  A Novel Strategy for Quantum Image Steganography Based on Moiré Pattern , 2015 .