Image Encryption Algorithms With Quantum Generalized Affine Transform And Quantum 3D Arnold Transform

Since the information contained in images can be understood easily,images have become an important tool to store or transport message nowadays.High speed networks not only bring aspiration for high resolution images but also allow us to chase for high efficient image encryption algorithms and corresponding hardware.To cover all these demands,researchers turn to quantum computation with the ability of parallel computing to cultivate a new direction:quantum image encryption.Quantum image encryption is build on the basis of digital image encryption and quantum information theory.In this dissertation,quantum image encryption algorithms were developed by taking full advantage of the intrinsic characteristics of quantum images.Quantum circuits to implement these encryption algorithms were given with the help of basic quantum logic gates.Our original jobs can be summarized as follows.A definition of the generalized quantum affine transform was given.The quantum circuits to realize this transform was designed.A novel quantum image encryption algorithm was built based on the quantum generalized affine transform and quantum XOR operations.The position information of the quantum image is scrambled by the generalized affine transform,while its color information is shuffled by quantum XOR operations controlled by the Logistic map.Simulation and analyses show that the proposed image encryption algorithm has a characteristic of high security and large key space and that,it performs better than its classical counterparts in terms of computation complexity.A novel quantum multi-image representation model was developed.The quantum version of3 D Arnold transform was suggested and the quantum network to realize this transform was given.By combining quantum multi-image representation model with the quantum 3D Arnold transform,a quantum multi-image encryption algorithm was proposed,where position information is encrypted by quantum 3D Arnold transform,while the color information is encrypted by quantum XOR operations controlled by the 2D coupled Logistic map.Different from the existing quantum image encryption algorithms,the proposed quantum multi-image encryption algorithm can encrypt dozens of images simultaneously.