A quantum color image encryption scheme based on coupled hyper-chaotic Lorenz system with three impulse injections

In this paper, a quantum color image encryption scheme based on coupled hyper-chaotic Lorenz system with three impulse injections is proposed. Firstly, in order to enhance the complexity of trajectory, three impulse signals values are injected into coupled hyper-chaotic Lorenz system during iterations. Then, six sequences generated from this system are used to encrypt red, green and blue components of the quantum color original image by XOR operations and right cyclic shift operations. Six initial values and three impulse signals values are used as keys, which could reduce the burden of keys transmission and make the cryptosystem own a key space large enough to resist exhaustive attack, even the attack from a quantum computer. Numerical simulations demonstrate that the proposed encryption scheme has a good feasibility and effectiveness for protecting quantum color images and is more secure in comparison with other encryption algorithms.

[1]  Jinde Cao,et al.  Master-slave synchronization of chaotic systems with a modified impulsive controller , 2013 .

[2]  Jing Li,et al.  A novel image encryption scheme based on a linear hyperbolic chaotic system of partial differential equations , 2013, Signal Process. Image Commun..

[3]  Yicong Zhou,et al.  Image encryption using a new parametric switching chaotic system , 2013, Signal Process..

[4]  Jing Ma,et al.  Image encryption using fingerprint as key based on phase retrieval algorithm and public key cryptography , 2015 .

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

[6]  Sabrina Maniscalco,et al.  Protecting entanglement via the quantum Zeno effect. , 2007, Physical review letters.

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

[8]  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.

[9]  I. Chuang,et al.  Quantum Computation and Quantum Information: Introduction to the Tenth Anniversary Edition , 2010 .

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

[11]  Daniel A. Lidar,et al.  Zeno effect for quantum computation and control. , 2011, Physical review letters.

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

[13]  Yicong Zhou,et al.  A new 1D chaotic system for image encryption , 2014, Signal Process..

[14]  Fei Yan,et al.  A survey of quantum image representations , 2015, Quantum Information Processing.

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

[16]  Dieter Suter,et al.  Robust dynamical decoupling for quantum computing and quantum memory. , 2011, Physical review letters.

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

[18]  H. Yao,et al.  Analysis of a new three-dimensional chaotic system , 2012 .

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

[20]  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..

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

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

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

[24]  Xingyuan Wang,et al.  Novel image encryption algorithm based on cycle shift and chaotic system , 2015 .

[25]  Manish Kumar,et al.  A new RGB image encryption algorithm based on DNA encoding and elliptic curve Diffie-Hellman cryptography , 2016, Signal Process..

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

[27]  Zhengjun Liu,et al.  Image encryption algorithm by using fractional Fourier transform and pixel scrambling operation based on double random phase encoding , 2013 .

[28]  Shor,et al.  Good quantum error-correcting codes exist. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[29]  Adan Cabello,et al.  Six-qubit permutation-based decoherence-free orthogonal basis , 2007, quant-ph/0702118.

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

[31]  Y. Simsek,et al.  On the generalized Apostol-type Frobenius-Euler polynomials , 2013 .

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

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

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

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

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

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

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

[39]  E. Knill,et al.  DYNAMICAL DECOUPLING OF OPEN QUANTUM SYSTEMS , 1998, quant-ph/9809071.

[40]  Jingbo B. Wang,et al.  Quantum Fourier transform in computational basis , 2015, Quantum Information Processing.

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

[42]  X Li,et al.  Quantum mechanics capacitance molecular mechanics modeling of core-electron binding energies of methanol and methyl nitrite on Ag(111) surface. , 2016, The Journal of chemical physics.

[43]  W. Munro,et al.  Quantum error correction for beginners , 2009, Reports on progress in physics. Physical Society.

[44]  K. B. Whaley,et al.  Theory of decoherence-free fault-tolerant universal quantum computation , 2000, quant-ph/0004064.

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

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

[47]  A. Steane.  Multiple-particle interference and quantum error correction , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[48]  Ping Liu,et al.  A novel hybrid color image encryption algorithm using two complex chaotic systems , 2016 .