An Image Encryption Method Based on Quantum Fourier Transformation

Liu, Ying; Zhou, Bing Bing; Li, Zijing; Deng, Jiangnan; Cai, Zhengying

doi:10.4236/ijis.2018.83004

Cited by 1 publication

(1 citation statement)

References 17 publications

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“…erefore, these systems can be rapidly applied to cryptographic systems which achieve superior performance with respect to the trade-offs between the security and efficiency. However, the appearance of quantum computing brought a great challenge to classic encryption methods [15,16].…”

Section: Introductionmentioning

confidence: 99%

Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System

2022

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Topic of quantum chaos has begun to draw increasing attention in recent years. So, to ensure the security of digital image, an image encryption algorithm based on combining a hyperchaotic system and quantum 3D logistic map is proposed. This algorithm is applied in four stages. Initially, the key generator builds upon the foundation of mean for any row or column of the edges of the plain image. Its output value is used to yield initial conditions and parameters of the proposed image encryption scheme. Next, it diffuses the plain image by the random sequences generated by 3D hyperchaotic system, and the diffusion process is realized by implementing XOR operation. Then, the diffused image and chaotic sequences are produced by the 3D quantum chaotic logistic map, expressed as a quantum superposition state using density matrix which is a representation of the state of a quantum system, and finally the resulting quantum image is then confused and diffused simultaneously by a unitary matrix generated by logistic chaos using XNOR operation to obtain the final cipher image. Because of the dependence on the plain image, the algorithm can frustrate the chosen-plaintext and known-plaintext attacks. Simulation results and theoretical analysis verify that the presented scheme has high safety performance, a good encryption effect, and a large key space. The method can effectively resist exhaustive, statistical, and differential attacks. Moreover, the encryption time of the proposed method is satisfactory, and the method can be efficiently used in practice for the secure transmission of image information.

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Section: Introductionmentioning

confidence: 99%