Abstract
Quantum image encryption offers major advantages over its classical counterpart in terms of key space, computational complexity, and so on. A novel double quantum image encryption approach based on quantum Arnold transform (QAT) and qubit random rotation is proposed in this paper, in which QAT is used to scramble pixel positions and the gray information is changed by utilizing random qubit rotation. Actually, the independent random qubit rotation operates once, respectively, in spatial and frequency domains with the help of quantum Fourier transform (QFT). The encryption process accomplishes pixel confusion and diffusion, and finally the noise-like cipher image is obtained. Numerical simulation and theoretical analysis verify that the method is valid and it shows superior performance in security and computational complexity.
Highlights
Quantum computation has shown great potential for improving information processing speed and enhancing communication security [1,2,3]
Yang proposed novel quantum image encryption algorithms based on double random phase encoding framework [23], where the quantum Fourier transform (QFT) substitutes the Fourier transform and the encryption performance of which surpasses its classical counterparts in terms of statistical analyses, robustness, and computational complexity
A double quantum gray image encryption algorithm that is based on quantum Arnold transform (QAT) and quantum random rotation is proposed
Summary
Quantum computation has shown great potential for improving information processing speed and enhancing communication security [1,2,3]. Zhou proposed a quantum image encryption algorithm using three geometric transformations, including image translation, image mirror transformation, and image sub-block swapping, which changes pixel position to some extent [14]. Yang proposed novel quantum image encryption algorithms based on double random phase encoding framework [23], where the QFT substitutes the Fourier transform and the encryption performance of which surpasses its classical counterparts in terms of statistical analyses, robustness, and computational complexity. Yang extended the quantum double random phase encoding scheme to encrypt color image [24], which introduces color image encryption into quantum scenarios in frequency domain. A double quantum image encryption algorithm that is based on quantum Arnold transform (QAT) and qubit random rotation is proposed. Numerical simulation results and theoretical analyses demonstrate that the proposed algorithm is effective and the computational complexity is decreased
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