Quantum Image Compression-Encryption Scheme Based on Quantum Discrete Cosine Transform

To obtain higher encryption efficiency and to realize the compression of quantum image, a quantum gray image encryption-compression scheme is designed based on quantum cosine transform and 5-dimensional hyperchaotic system. The original image is compressed by the quantum cosine transform and Zigzag scan coding, and then the compressed image is encrypted by the 5-dimensional hyperchaotic system. The proposed quantum image encryption-compression algorithm has larger key space and higher security, since the employed 5-dimensional hyperchaotic system has more complex dynamic behavior, better randomness and unpredictability than the low-dimensional hyper-chaotic system. Simulation and theoretical analyses show that the proposed quantum image encryption-compression scheme is superior to the corresponding classical image encryption scheme in term of efficiency and security.

[1]  Amir Fijany,et al.  Quantum Wavelet Transforms: Fast Algorithms and Complete Circuits , 1998, QCQC.

[2]  Di Wang,et al.  Image compression and encryption scheme based on 2D compressive sensing and fractional Mellin transform , 2015 .

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

[4]  J. Astola,et al.  Fast classical and quantum fractional Walsh transforms , 2001, ISPA 2001. Proceedings of the 2nd International Symposium on Image and Signal Processing and Analysis. In conjunction with 23rd International Conference on Information Technology Interfaces (IEEE Cat..

[5]  Ting Liu,et al.  Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains , 2011 .

[6]  Nikolay N. Ponomarenko,et al.  DCT Based High Quality Image Compression , 2005, SCIA.

[7]  Jiali Feng,et al.  Research and Implementation of Image Encryption Algorithm Based on Zigzag Transformation and Inner Product Polarization Vector , 2010, 2010 IEEE International Conference on Granular Computing.

[8]  Lijiang Chen,et al.  SQR: a simple quantum representation of infrared images , 2014, Quantum Information Processing.

[9]  R. Jozsa.  Quantum algorithms and the Fourier transform , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[10]  Chao Yang Pang,et al.  Quantum Discrete Cosine Transform for Image Compression , 2006 .

[11]  Zhihong Zhou,et al.  Image compression–encryption scheme based on hyper-chaotic system and 2D compressive sensing , 2016 .

[12]  A. Klappenecker,et al.  Discrete cosine transforms on quantum computers , 2001, ISPA 2001. Proceedings of the 2nd International Symposium on Image and Signal Processing and Analysis. In conjunction with 23rd International Conference on Information Technology Interfaces (IEEE Cat..

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

[14]  Oliver Benson.  Linking Two Quantum Dots with Single Photons , 2017 .

[15]  Yang Ran,et al.  Researching of Image Compression Based on Quantum BP Network , 2013 .

[16]  Nan Jiang,et al.  A Novel Quantum Image Compression Method Based on JPEG , 2017 .

[17]  C. Tseng,et al.  Quantum circuit design of 8/spl times/8 discrete cosine transform using its fast computation flow graph , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[18]  Timothy C. Ralph,et al.  Efficient Toffoli gates using qudits , 2007 .

[19]  Li-Hua Gong,et al.  Flexible multiple-image encryption algorithm based on log-polar transform and double random phase encoding technique , 2013 .

[20]  Kwok-Wo Wong,et al.  A chaos-based joint image compression and encryption scheme using DCT and SHA-1 , 2011, Appl. Soft Comput..

[21]  Guangyong Li,et al.  Quantum image encryption scheme with iterative generalized Arnold transforms and quantum image cycle shift operations , 2017, Quantum Inf. Process..

[22]  Hua Zhang,et al.  Novel image encryption/decryption based on quantum Fourier transform and double phase encoding , 2013, Quantum Inf. Process..

[23]  Adrian S. Lewis,et al.  Image compression using the 2-D wavelet transform , 1992, IEEE Trans. Image Process..

[24]  Sundarapandian Vaidyanathan,et al.  Hyperchaos, adaptive control and synchronization of a novel 5-D hyperchaotic system with three positive Lyapunov exponents and its SPICE implementation , 2014 .

[25]  Chengzhi Deng,et al.  Image compression-encryption algorithms by combining hyper-chaotic system with discrete fractional random transform , 2018, Optics & Laser Technology.

[26]  Nobuyuki Matsui,et al.  Image Compression by Layered Quantum Neural Networks , 2002, Neural Processing Letters.

[27]  Qingxin Zhu,et al.  Multidimensional color image storage, retrieval, and compression based on quantum amplitudes and phases , 2014, Inf. Sci..

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

[29]  E M Fortunato,et al.  Implementation of the quantum Fourier transform. , 2001, Physical review letters.