中国物理B ›› 2024, Vol. 33 ›› Issue (4): 40306-040306.doi: 10.1088/1674-1056/ad1174

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Double quantum images encryption scheme based on chaotic system

She-Xiang Jiang(蒋社想)1,2, Yang Li(李杨)1,†, Jin Shi(石锦)1, and Ru Zhang(张茹)1   

  1. 1 School of Computer Science and Engineering, Anhui University of Science and Technology, Huainan 232001, China;
    2 Anhui Key Laboratory of Mine Intelligent Equipment and Technology, Anhui University of Science & Technology, Huainan 232001, China
  • 收稿日期:2023-09-09 修回日期:2023-11-24 接受日期:2023-12-01 出版日期:2024-03-19 发布日期:2024-03-19
  • 通讯作者: Yang Li E-mail:ly1000xyz@163.com
  • 基金资助:
    Project supported by the Open Fund of Anhui Key Laboratory of Mine Intelligent Equipment and Technology (Grant No. ZKSYS202204), the Talent Introduction Fund of Anhui University of Science and Technology (Grant No. 2021yjrc34), and the Scientific Research Fund of Anhui Provincial Education Department (Grant No. KJ2020A0301).

Double quantum images encryption scheme based on chaotic system

She-Xiang Jiang(蒋社想)1,2, Yang Li(李杨)1,†, Jin Shi(石锦)1, and Ru Zhang(张茹)1   

  1. 1 School of Computer Science and Engineering, Anhui University of Science and Technology, Huainan 232001, China;
    2 Anhui Key Laboratory of Mine Intelligent Equipment and Technology, Anhui University of Science & Technology, Huainan 232001, China
  • Received:2023-09-09 Revised:2023-11-24 Accepted:2023-12-01 Online:2024-03-19 Published:2024-03-19
  • Contact: Yang Li E-mail:ly1000xyz@163.com
  • Supported by:
    Project supported by the Open Fund of Anhui Key Laboratory of Mine Intelligent Equipment and Technology (Grant No. ZKSYS202204), the Talent Introduction Fund of Anhui University of Science and Technology (Grant No. 2021yjrc34), and the Scientific Research Fund of Anhui Provincial Education Department (Grant No. KJ2020A0301).

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摘要： This paper explores a double quantum images representation (DNEQR) model that allows for simultaneous storage of two digital images in a quantum superposition state. Additionally, a new type of two-dimensional hyperchaotic system based on sine and logistic maps is investigated, offering a wider parameter space and better chaotic behavior compared to the sine and logistic maps. Based on the DNEQR model and the hyperchaotic system, a double quantum images encryption algorithm is proposed. Firstly, two classical plaintext images are transformed into quantum states using the DNEQR model. Then, the proposed hyperchaotic system is employed to iteratively generate pseudo-random sequences. These chaotic sequences are utilized to perform pixel value and position operations on the quantum image, resulting in changes to both pixel values and positions. Finally, the ciphertext image can be obtained by qubit-level diffusion using two XOR operations between the position-permutated image and the pseudo-random sequences. The corresponding quantum circuits are also given. Experimental results demonstrate that the proposed scheme ensures the security of the images during transmission, improves the encryption efficiency, and enhances anti-interference and anti-attack capabilities.

关键词: double quantum images encryption, chaotic system, pixel scrambling, XOR operation

Abstract: This paper explores a double quantum images representation (DNEQR) model that allows for simultaneous storage of two digital images in a quantum superposition state. Additionally, a new type of two-dimensional hyperchaotic system based on sine and logistic maps is investigated, offering a wider parameter space and better chaotic behavior compared to the sine and logistic maps. Based on the DNEQR model and the hyperchaotic system, a double quantum images encryption algorithm is proposed. Firstly, two classical plaintext images are transformed into quantum states using the DNEQR model. Then, the proposed hyperchaotic system is employed to iteratively generate pseudo-random sequences. These chaotic sequences are utilized to perform pixel value and position operations on the quantum image, resulting in changes to both pixel values and positions. Finally, the ciphertext image can be obtained by qubit-level diffusion using two XOR operations between the position-permutated image and the pseudo-random sequences. The corresponding quantum circuits are also given. Experimental results demonstrate that the proposed scheme ensures the security of the images during transmission, improves the encryption efficiency, and enhances anti-interference and anti-attack capabilities.

Key words: double quantum images encryption, chaotic system, pixel scrambling, XOR operation

中图分类号:  (Quantum information)

  • 03.67.-a
03.67.Ac (Quantum algorithms, protocols, and simulations) 03.67.Dd (Quantum cryptography and communication security) 07.05.Pj (Image processing)