06 March 2024 | Xiao-Dong Liu, Qian-Hua Chen, Run-Sheng Zhao, Guang-Zhe Liu, Shuai Guan, Liang-Long Wu and Xing-Kui Fan
This paper presents a quantum image encryption algorithm based on four-dimensional chaos, addressing the limitations of traditional encryption methods such as periodicity, small key space, and vulnerability to statistical analysis. The encryption process involves encoding a classical image into quantum information using the Generalized Quantum Image Representation (GQIR) method, followed by randomizing the trajectory of a four-dimensional chaotic system to generate multi-dimensional chaotic keys. These keys are used to encrypt the pixel values and positions of the image through Arnold transformation. The decryption process is the reverse of the encryption, restoring the original image. The algorithm demonstrates high information entropy, weak pixel correlation, and a large key space, making it resistant to various attacks. The simulation results using Python show that the encrypted images have high information entropy (above 7.999 bits), weak pixel correlation, and a key space of \(10^{400}\) to \(2^{128}\). The method is effective in enhancing the security and usability of quantum image encryption.This paper presents a quantum image encryption algorithm based on four-dimensional chaos, addressing the limitations of traditional encryption methods such as periodicity, small key space, and vulnerability to statistical analysis. The encryption process involves encoding a classical image into quantum information using the Generalized Quantum Image Representation (GQIR) method, followed by randomizing the trajectory of a four-dimensional chaotic system to generate multi-dimensional chaotic keys. These keys are used to encrypt the pixel values and positions of the image through Arnold transformation. The decryption process is the reverse of the encryption, restoring the original image. The algorithm demonstrates high information entropy, weak pixel correlation, and a large key space, making it resistant to various attacks. The simulation results using Python show that the encrypted images have high information entropy (above 7.999 bits), weak pixel correlation, and a key space of \(10^{400}\) to \(2^{128}\). The method is effective in enhancing the security and usability of quantum image encryption.