Quantum image encryption scheme based on 2D Sine² - Logistic chaotic map

In recent years, quantum computing has made breakthrough progress. Due to the characteristics of qubits, image processing may be made more efficient and secure using quantum ciphers. Therefore, a qubit-level selective scrambling and overlapping feedback diffusion method based on a new 2D cross Sine(2) - Logistic chaotic map is proposed. We propose a new type of cross two-dimensional chaotic map that combines Sine and Logistic chaotic systems. Compared with the traditional Sine and Logistic chaotic systems, the new chaotic system has a hyperchaotic state. Additionally, it solves the problem of periodic windows. With a broader parameter space and more chaotic performance, operational efficiency is improved. In the quantum image encryption scheme, based on a novel enhanced quantum representation model, the plaintext image is preprocessed, and the pixel value is changed by qubit level selective scrambling. At the same time, it can achieve the effect of diffusion and make the data more secure. Next, the pixel value position of the image is changed by chaos-based row/column cyclic shift and index scrambling, which greatly serves the purpose of confusion. A diffusion method of quantum overlapping feedback diffusion is proposed to improve the avalanche effect of the encryption algorithm, and finally, the encrypted image is obtained. The experimental results and performance analysis show that the quantum image encryption scheme proposed in this paper is highly secure and reliable.