Research On Image Encryption Based On Quantum Walk And Rubik’s Cube Transform

With the rapid development of science technology and network technology,information security has become the focus of research,and the protection of image information has potential research value in this aspect.In order to prevent image information from being attacked by hackers and other illegal elements in the process of network transmission,resulting in threats to information security,researchers in different countries have studied various methods to hide and protect image information gradually form a "scrambling-diffusion" two-stage encryption structure.In recent years,the prosperity and development of quantum mechanics has given rise to many cross-fields such as quantum computing and quantum information,which not only brings challenges to image information security,but also provides new research directions.Due to the unique advantages of quantum state,such as entanglement and parallelism,discrete quantum random walk has the characteristics of sensitivity to initial state,chaos,non-periodicity and so on,which make it a perfect key generator.Therefore,this paper combines the characteristics of quantum computing with image encryption algorithm to get an image encryption algorithm whose performance is better than classical encryption.In addition,in order to deal with the threat of industry information security in the quantum era,this paper proposes quantum image encryption based on Rubik’s cube transformation,which can effectively deal with the threat of computing power brought by quantum computing.The main contents are as follows:(1)An image encryption algorithm based on quantum walking and Rubik’s cube rotation scrambling is designed.Based on the idea of random walk,the quantum random walk is studied,and the alternating quantum random walk on two-dimensional lattice is developed and designed.The random probability matrix is obtained by measuring the quantum state,which provides an aperiodic random sequence for the encryption algorithm.The image pixel information is mapped to several third-order Rubik’s cubes,and the spatial scrambling of the image pixels is completed by controlling the Rubik’s cube rotation.finally,the key transformed by the probability matrix is XOR with the scrambled image to complete the diffusion encryption of the pixel value.it is proved by experimental analysis that it has enough key space,can resist most attacks,and has good encryption effect.(2)An image encryption algorithm based on controlled generalized zigzag transform and bit-level encryption under quantum walking is designed.In order to improve the algorithm,make it image sensitive and improve the encryption performance,firstly,some parameters of quantum random walk are obtained by calculating the hash value of the image by sha256 method,and the probability matrix of quantum distribution on two-dimensional lattice is obtained by walking many times,and then the color image is controlled by zigzag dislocation and three-dimensional rotation dislocation to achieve the nonlinear diffusion of pixels.Finally,it is different from the key matrix bit by bit to realize the encryption and protection of image information.The effectiveness of the encryption scheme is verified by simulation experiments,and the scheme has a good encryption effect: the information entropy is about 7.9995 and can resist a variety of common interference attacks.Compared with other encryption schemes,this scheme has better key security and encryption effect,which provides a new way for the field of image quantum encryption.(3)A quantum image encryption scheme based on Rubik’s cube transform and image key is proposed.BRQI quantum image representation model is selected in the scheme,and the preparation process of quantum image is described in detail.A quantum image encryption scheme based on Rubik’s cube principle and image key is proposed.The quantum image key for encryption is designed and generated by using Hash characteristics and feedback idea,and the alternating cyclic shift quantum image scrambling method is designed by using the random sequence generated by alternating quantum walk and the Rubik’s cube cyclic shift principle.After quantum image scrambling,the quantum image key is used to control the pixel information bits of the quantum image to flip to complete the encryption.Through simulation experiments,the feasibility of quantization applied by classical algorithms to quantum image encryption is verified,and the information security of images in the quantum era is guaranteed.