4.4 Article

Quantum Multi-Image Encryption Based on Iteration Arnold Transform with Parameters and Image Correlation Decomposition

Journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Volume 56, Issue 7, Pages 2192-2205

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-017-3365-z

Keywords

Discrete wavelet transform; Iteration Arnold transform with parameters; Quantum image correlation decomposition; Quantum multi-image encryption; Quantum computation

Funding

  1. National Natural Science Foundation of China [61462061, 61561033]
  2. China Scholarship Council [201606825042]
  3. Department of Human Resources and Social security of Jiangxi Province
  4. Major Academic Discipline and Technical Leader of Jiangxi Province [20162BCB22011]

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A novel quantum multi-image encryption algorithm based on iteration Arnold transform with parameters and image correlation decomposition is proposed, and a quantum realization of the iteration Arnold transform with parameters is designed. The corresponding low frequency images are obtained by performing 2-D discrete wavelet transform on each image respectively, and then the corresponding low frequency images are spliced randomly to one image. The new image is scrambled by the iteration Arnold transform with parameters, and the gray-level information of the scrambled image is encoded by quantum image correlation decomposition. For the encryption algorithm, the keys are iterative times, added parameters, classical binary and orthonormal basis states. The key space, the security and the computational complexity are analyzed, and all of the analyses show that the proposed encryption algorithm could encrypt multiple images simultaneously with lower computational complexity compared with its classical counterparts.

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