Quantum Color Image Encryption Algorithms Based On Chaotic Systems And Quantum Fourier Transform

Quantum information science is a new product of the combination of quantum mechanics and information sciences.After nearly thirty years of rapid development,quantum communication and quantum computer have attracted the attention of researchers.Due to the interference of quantum effect and the limitation of energy consumption,the development of classical computer is greatly hindered.The purpose and significance of quantum information processing technology is to improve the detection accuracy and speed up the processing speed,ensure the safety of information and expand the information capacity,break the limit of traditional information systems.The classical algorithm does not exist the corresponding resources of quantum algorithm: quantum parallelism,interference and entanglement of quantum states.Therefore,based on the in-depth analysis of the existing classic encryption of image encryption and quantum image,making full use of the characteristics of quantum information,the construction of quantum image encryption model,combined with significant elements of classical image encryption,quantum image encryption algorithm which extends the classical encryption direction also expands the content of quantum encryption,provides an effective guarantee for the security of quantum image.Specific research contents are as follows:The design of a quantum color image encryption algorithm based on a hyper-chaotic system and quantum Fourier transform(QFT)is proposed,in which four sequences generated by the Chen's hyper-chaotic system are scrambled and diffused with three gray components of the original color image.Sequentially,different sub-images by using quantum rotation gate rotation.Finally,the quantum Fourier transform controlled by the controlled phase gate is used to encrypt the initial encrypted image.Numerical simulations show that the presented quantum color image encryption algorithm possesses large key space to resist illegal attacks,sensitive dependence on initial keys,uniform distribution of gray values for the encrypted image and weak correlation between two adjacent pixels in the cipher-image and has high security.While emphasizing the intensity or saturation component in order to obtain high-quality color images,keeping the hue component unchanged is important;Hue-Saturation Intensity(HSI)is a public color model,in this paper,a novel color image encryption algorithm based on the HSI model and quantum Fourier transform is presented,the colors of the original color image are converted to HSI,then the algorithm employs the logistic map to diffuse the position of pixels in color components.Sequentially,QFT of the quantum image least significant qubit(LSQb)information hiding algorithm is exploited to fulfill the encryption.On account of the cipher-text is only a combination of a gray image and a phase matrix,the cipher-text has camouflage performance to some extent.Digital simulation results and statistical analyses demonstrate that the proposed quantum color image encryption algorithm is sufficient security and effectiveness.