Abstract
This paper proposes an image encryption scheme based on logistic quantum chaos. Firstly, we use compressive sensing algorithms to compress plaintext images and quantum logistic and Hadamard matrix to generate the measurement matrix. Secondly, the improved flexible representation of the quantum images (FRQI) encoding method is utilized for encoding the compressed image. The pixel value scrambling operation of the encoded image is realized by rotating the qubit around the axis. Finally, the quantum pixel is encoded into the pixel value in the classical computer, and the bit-level diffusion and scrambling are performed on it. Numerical analysis and simulation results show that our proposed scheme has the large keyspace and strong key sensitivity. The proposed scheme can also resist standard attack methods such as differential attacks and statistical analysis.
Highlights
Digital images are important information carriers and are widely used in various fields, such as social networks, education and medical systems [1,2]
Because the image has a high correlation between adjacent pixels and data redundancy, these characteristics lead to the unsatisfactory results of traditional encryption methods and are easy to be attacked [7,8]
This paper proposes an image encryption scheme based on logistic quantum chaos
Summary
Digital images are important information carriers and are widely used in various fields, such as social networks, education and medical systems [1,2]. In 2003, Venegas-Andraca et al first proposed the image quantum encoding algorithm based on qubit lattice [19,25] They assume that a qubit stores each pixel value of the input 2D image. In 2011, Le et al designed a flexible representation of quantum images (FRQI) based on the qubit lattice theory [21] They took the pixel value and position in the form of a quantum state tensor product. We use quantum logistic mapping and the Hadamard matrix to generate the measurement matrix This new matrix can improve encryption scheme security in the compressed sensing process in this paper. We combined the Bloch spherical surface to propose a new pixel value scrambling method This new operation can reduce time complexity and improve system security in the encryption process.
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