Quanantum Image Encryption Based On Henon Mapping

With the rapid development of information technology,information encryption has become the top priority of information security research.Information encryption includes text encryption,image encryption and so on.In daily life,people transmit various images through network,and their personal privacy and information will be subject to various interference and threats,such as theft,copying and destruction.At this time,we have to consider the security of image information.That is,how to encrypt the image to protect the information carried by the image safely and effectively,which is the purpose of image encryption technology.In classical computers,image encryption has been studied deeply.Quantum Computer,as a new type of computer in the future,is different from classical computer.At present,there are few studies on quantum image encryption,and more in-depth studies are needed in image encryption technology.Therefore,the research on quantum image processing encryption is regarded as a quantum meter.A branch of arithmetic is of great significance.This paper studies the quantum image encryption based on Henon mapping.In the existing studies,the generation of quantum image encryption sequences is all carried out on the traditional computer,without breaking away from the dependence on the traditional computer.This method is complex,and because it involves the data transfer between the traditional computer and the quantum computer,the risk are greatly increased.An important contributation of this paper is that the generation of encryption sequences is also carried out on the quantum computer.In this way,all encryption operations are only performed on the quantum computer,including chaotic sequences generation,encryption and decryption.The research gets rid of the dependence on the traditional computer and greatly improves the convenience and security.In this paper,a GQIR(Generalized Quantum Images Representation)model,which is expanded from the NEQR(Novel Enhanced Quantum Representation)model,is used to represent a Quantum image of any size and depth.In the selection of various chaotic mapping algorithms,this paper use the two-dimensional Henon chaotic mapping as the core algorithm to encrypt the quantum image.However,the decimal sequence generated by the Henon map cannot be directly applied to the GQIR model because the GQIR model operates on a binary representation.Therefore,the encryption sequence generated by Henon mapping is represented by binary and improved by displacement in the simulation experiment.As Henon map is a two-dimensional map,it will generate two random encryption sequences.After generating the encryption sequences,this paper mixed the two random encryption sequences to make it a more difficult sequence to crack.Then the quantum image is encrypted by using the XOR method.The experimental results of simulating quantum computer environment on MATLAB show that the encrypted image obtained by this algorithm has good randomness,uniform distribution of pixel values,close to zero correlation of adjacent coefficients,high parameter sensitivity,and conforms to the standard of quantum image encryption.Because chaotic sequence is suitable for image encryption and quantum computer has its own quantum security characteristics,the encryption method in this paper is safe,convenient and reliable,and suitable for quantum computer.