Research On Quantum Image Representation And Quantum Image Scrambling

Quantum image processing mainly researches quantum image algorithms suitable for quantum computers.It involves the cross fusion of quantum mechanics,quantum information processing,and image processing.In recent years,the quantum image representation model and its related application research has been a hot spot in the field of image processing.Experts and scholars have proposed different types of quantum image representation models for different occasions.Scrambling algorithms designed for this model have also achieved staged results.The research on quantum image processing technology is of great significance for information security.This article focuses on quantum image representation and quantum scrambling.It mainly discusses some research hotspots in the field of quantum image security.The specific research work is summarized as follows:?1?A quantum image representation model based on bit plane is proposed.To store an image on a quantum computer,we first need to solve the problem of encoding the image.Based on this,we propose an image representation model suitable for the quantum computer.In this paper,a bit plane representation of quantum images?BRQI?is proposed,which uses n+4 or n+6 qubits to store a grayscale or RGB color image of 2ⁿ pixels.Compared to a novel enhanced quantum representation?NEQR?,and a novel quantum representation of color digital images?NCQI?,the storage capacity of BRQI improves 16 times and 2¹⁸ times,respectively.?2?A quantum scrambling circuit is designed based on the bit plane representation model.Based on the quantum image representation model,this paper proposes four kinds of quantum operations based on bit planes,including color bit inversion,bit plane inversion,pixel swapping between bit planes,and bit plane transformation.Synthesizing above four basic operations,we design a quantum scrambling circuit for a bit-plane representation model.The time complexity of the algorithm isO?n²?.In order to achieve the same operation,analyze and compare the quantum cost of existing image representation models,the proposed method has lower quantum cost than NEQR and NCQI.?3?A block image-based scrambling scheme is proposed,which is suitable for scrambling rectangular and square images.First,the GNEQR quantum image is used to represent the model to store the image.Then a quantum module circuit is designed for this model,which mainly implements the functions of coordinate transformation and bit plane scrambling.Finally,the simulation of the whole circuit is completed on the MATLAB simulation platform,The final experimental results indicate that the algorithm is effective.