Quantum Image Encryption Algorithms With Arnold Transforms And Cycle Shift Operations

Quantum image processing combining quantum information with digital image processing is an emerging research area.The features of quantum superposition and entanglement can greatly improve the efficiency of image processing.Thus,quantum image processing has been attracted extensive attention.In allusion to the slow processing speed of the classical image encryption technology and the low safety level,this paper intends to combine quantum image correlation decomposition,Arnold transform with cycle shift operation to propose two quantum image encryption schemes.The main research results of this paper are as follows:A quantum multi-image encryption algorithm based on iteration Arnold transform with parameters and image correlation decomposition is proposed.A quantum realization of the iteration Arnold transform with parameters is designed,and the corresponding quantum circuit architecture is also realized.The corresponding low frequency images are obtained by performing 2-D discrete wavelet transform on each image respectively,and then the corresponding low frequency images are spliced to a new image.The gray-level information of the new image is encoded by quantum image correlation decomposition,and the image is scrambled by the iteration Arnold transform with parameters.For the encryption algorithm,the keys are iterative times,added three parameters,three classical binary sequences.The key space,the security and the computational complexity are analyzed,and all of the analyses show that the proposed encryption algorithm could encrypt multiple images simultaneously with lower computational complexity compared with its classical counterparts.A quantum image encryption scheme is suggested by using the iterative generalized Arnold transform and the quantum image cycle shift operations.A quantum realization of cycle shift operation is designed and the correspondingquantum circuit architecture is also realized.The image pixels are scrambled by the iterative generalized Arnold transforms and the values of the pixels are altered by the quantum cycle shift operations.The 4D hyper-chaotic system is exploited to generate four hyper-chaotic sequences.The cycle shift times of the quantum cycle shift operations is controlled by a hyper-chaotic sequence.The other three hyper-chaotic sequences are used to control the two parameters,the iterative times of the generalized Arnold transforms,respectively.Thus,the main keys of the proposed quantum image encryption scheme are the four initial conditions of the 4D hyper-chaotic system and the key space is relatively large.Simulation results and theoretical analyses demonstrate that the proposed quantum image encryption scheme outperforms its classical counterparts apparently.