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Quantum Image Encryption Scheme Using Arnold Transform and S-box Scrambling

Key Laboratory Aerospace Information Security and Trusted Computing, Ministry of Education, School of Cyber Science and Engineering, Wuhan University, Wuhan 430072, China
School of Computer Science and Technology, Hankou University, Wuhan 430212, China
Author to whom correspondence should be addressed.
Entropy 2019, 21(4), 343;
Received: 11 March 2019 / Revised: 20 March 2019 / Accepted: 26 March 2019 / Published: 28 March 2019
(This article belongs to the Section Quantum Information)
PDF [2135 KB, uploaded 28 March 2019]


The paper proposes a lossless quantum image encryption scheme based on substitution tables (S-box) scrambling, mutation operation and general Arnold transform with keys. First, the key generator builds upon the foundation of SHA-256 hash with plain-image and a random sequence. Its output value is used to yield initial conditions and parameters of the proposed image encryption scheme. Second, the permutation and gray-level encryption architecture is built by discrete Arnold map and quantum chaotic map. Before the permutation of Arnold transform, the pixel value is modified by quantum chaos sequence. In order to get high scrambling and randomness, S-box and mutation operation are exploited in gray-level encryption stage. The combination of linear transformation and nonlinear transformation ensures the complexity of the proposed scheme and avoids harmful periodicity. The simulation shows the cipher-image has a fairly uniform histogram, low correlation coefficients closed to 0, high information entropy closed to 8. The proposed cryptosystem provides 2256 key space and performs fast computational efficiency (speed = 11.920875 Mbit/s). Theoretical analyses and experimental results prove that the proposed scheme has strong resistance to various existing attacks and high level of security. View Full-Text
Keywords: S-box scrambling; mutation operation; Arnold transform; SHA-256 hash; quantum chaotic map S-box scrambling; mutation operation; Arnold transform; SHA-256 hash; quantum chaotic map

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Liu, H.; Zhao, B.; Huang, L. Quantum Image Encryption Scheme Using Arnold Transform and S-box Scrambling. Entropy 2019, 21, 343.

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