Research On Image Encryption Based On Quantum Random Walk And Quantum Watermarking Scheme

At present,quantum information derived from quantum mechanics is developing vigorously and has great potential,which creates a new direction for the development of informatics.The research of quantum communication,quantum computing and quantum computer manufacturing is an important research direction in the field of quantum information.Compared with classical states,quantum states have unique advantages:quantum parallelism and the entanglement of quantum states.Hence,compared with the classical information processing,the superiorities of quantum information processing include faster information processing speed,safer and more reliable data storage,larger information storage capacity and so on,smashing down boundaries of classical information processing technology.Therefore,in the field of quantum image encryption,we can combine the technical methods of classical image encryption and the characteristics of quantum information to build a quantum image encryption method that corresponds to the classical image encryption method and is superior in performance to the classical image encryption method.This can not only expand the classical image encryption methods,but also integrate the characteristics of quantum information to provide security and reliability for quantum images.For enhancing the security and dependability of quantum image encryption algorithm,Three schemes are proposed in this paper.The specific research contents are as follows:1.Aiming at the problem that data information is easily stolen due to attacks in the process of digital image transmission.On the basis of the Arnold scrambling algorithm,a color image encryption algorithm is designed by introducing quantum random walk and Latin square matrix.First,the R,G and B channels of the image are separated to make three single-channel images.Then use Arnold transform to scramble the pixel points of the single-channel image,making the pixel value of the scrambled image change through the Latin square and quantum random walk,and apply the addition and removal modulus diffusion algorithm to the encrypted image to further change the pixel value of the image,and finally merge the R,G,B three-channel encrypted image to obtain the color encrypted image.Quantum random walk is used to generate random sequences and random matrices.2.In order to enhance the dependability of message in the process of image’s transmission and storage.Through combining alternating quantum random walk and the principle of magic cube transformation,a color image encryption scheme is designed.First,the color image to be encrypted is divided into three channels:channnel R,channel G and channel B.In addition,random sequences are generated by alternating quantum walks.Then the six faces of the Rubik’s Cube are decomposed and arranged in a specific order,and each pixel of the single-channel image is randomly mapped to the Rubik’s Cube sub-block.The rotation mode of the Rubik’s Cube is determined by the value of the random sequence to achieve scrambling and encryption.The random sequence obtained by the rotation of the Rubik’s Cube and the random sequence received by the alternating quantum walk of the scrambled image are processed by the bitwise XOR algorithm to obtain a single channel encrypted image.Finally,merge the three channel images to obtain the final encrypted image.3.To strengthen the security and confidentiality of information in quantum images,based on the NEQR quantum image representation model,a quantum watermarking scheme combining quantum Hilbert scrambling and steganography based on Moir é fringe is proposed.Firstly,the carrier image and the watermark image are represented by the NEQR model for color information and position information respectively.Next,the watermark image is converted into an unordered image by quantum Hilbert scrambling,and the original watermark image message cannot be obtained from the unordered image.Finally,through the image steganography based on Moiré fringe,the scrambled watermark image is embedded into the carrier image,so the watermarked image is obtained.Because of the unitary of quantum gates,quantum Hilbert scrambling is the opposite process of quantum Hilbert scrambling.What’s more,the watermark image can be extracted well from the carrier image embedded in the watermark.