Double quantum color images encryption scheme based on DQRCI

In this paper, a double quantum color images representation model (DQRCI) which can store two color digital images simultaneously into a quantum superposition state is investigated. Based on DQRCI, some simple image processing operations are discussed and the corresponding quantum circuits are designed. The circuits indicate that these operations have very low computational complexity. Moreover, to ensure the security of DQRCI quantum state image, an encryption scheme is proposed and the validity verification of image encryption system in quantum field is given for the first time. Numerical simulation and performance comparison demonstrate that the proposed double quantum color images encryption scheme outperforms the previous pertinent work in terms of security and computational complexity. This work will help the researchers to further investigate more efficient quantum image representation model and corresponding encryption algorithm.

[1]  He Lei,et al.  Novel quantum image encryption using one-dimensional quantum cellular automata , 2016, Inf. Sci..

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

[3]  Lov K. Grover A fast quantum mechanical algorithm for database search , 1996, STOC '96.

[4]  Peter W. Shor,et al.  Algorithms for quantum computation: discrete logarithms and factoring , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.

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

[6]  DiVincenzo,et al.  Five two-bit quantum gates are sufficient to implement the quantum Fredkin gate. , 1996, Physical review. A, Atomic, molecular, and optical physics.

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

[8]  Giuseppe Grassi,et al.  Multi-wing hyperchaotic attractors from coupled Lorenz systems , 2009 .

[9]  Qiong Li,et al.  Quantum Realization of Arnold Scrambling for IFRQI , 2016 .

[10]  Yu-Guang Yang,et al.  Quantum cryptographic algorithm for color images using quantum Fourier transform and double random-phase encoding , 2014, Inf. Sci..

[11]  Yu-Guang Yang,et al.  Novel Image Encryption based on Quantum Walks , 2015, Scientific Reports.

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

[13]  Fei Yan,et al.  An RGB Multi-Channel Representation for Images on Quantum Computers , 2013, J. Adv. Comput. Intell. Intell. Informatics.

[14]  L. Gong,et al.  Quantum Color Image Encryption Algorithm Based on A Hyper-Chaotic System and Quantum Fourier Transform , 2016, International Journal of Theoretical Physics.

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

[16]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[17]  Qiong Li,et al.  A novel quantum representation of color digital images , 2017, Quantum Inf. Process..

[18]  Dafa Li,et al.  SLOCC classification of n qubits invoking the proportional relationships for spectrums and standard Jordan normal forms , 2017, Quantum Inf. Process..

[19]  Salvador E. Venegas-Andraca,et al.  Processing images in entangled quantum systems , 2010, Quantum Inf. Process..

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

[21]  R. Feynman Simulating physics with computers , 1999 .

[22]  Di Xiao,et al.  Double Quantum Image Encryption Based on Arnold Transform and Qubit Random Rotation , 2018, Entropy.

[23]  Weiwei Chen,et al.  Bit-level quantum color image encryption scheme with quantum cross-exchange operation and hyper-chaotic system , 2018, Quantum Information Processing.

[24]  Ping Fan,et al.  Quantum watermarking scheme through Arnold scrambling and LSB steganography , 2017, Quantum Inf. Process..

[25]  José Ignacio Latorre,et al.  Image compression and entanglement , 2005, ArXiv.

[26]  Fei Yan,et al.  Quantum image processing: A review of advances in its security technologies , 2017 .

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

[28]  Liying Tan,et al.  QRCI: A new quantum representation model of color digital images , 2019, Optics Communications.

[29]  Panchi Li,et al.  A Simple Encryption Algorithm for Quantum Color Image , 2017, International Journal of Theoretical Physics.

[30]  Raphael C.-W. Phan,et al.  On the effective subkey space of some image encryption algorithms using external key , 2016, J. Vis. Commun. Image Represent..

[31]  Kai Lu,et al.  An Optimized Quantum Representation for Color Digital Images , 2018, International Journal of Theoretical Physics.

[32]  Ri-Gui Zhou,et al.  Quantum Image Encryption and Decryption Algorithms Based on Quantum Image Geometric Transformations , 2013 .

[33]  Zhengang Jiang,et al.  Quantum Computation-Based Image Representation, Processing Operations and Their Applications , 2014, Entropy.

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

[35]  Nanrun Zhou,et al.  Quantum Image Encryption Algorithm Based on Quantum Image XOR Operations , 2016, International Journal of Theoretical Physics.

[36]  Liang Chen,et al.  Uncertainty relations with the generalized Wigner–Yanase–Dyson skew information , 2018, Quantum Inf. Process..

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

[38]  Nan Jiang,et al.  Quantum image scaling up based on nearest-neighbor interpolation with integer scaling ratio , 2015, Quantum Information Processing.

[39]  Ling Wang,et al.  A quantum color image encryption scheme based on coupled hyper-chaotic Lorenz system with three impulse injections , 2018, Quantum Inf. Process..

[40]  Jian Wang,et al.  Quantum Image Encryption Algorithm Based on Quantum Key Image , 2019 .

[41]  Barenco,et al.  Quantum networks for elementary arithmetic operations. , 1995, Physical review. A, Atomic, molecular, and optical physics.