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Nonlinear Dynamics

An encryption scheme for MQIR based on binary key image and qubit rotation

Zigang Chen, Yi Yan, Ji Pan, Haihua Zhu, Yuhong Liu

Published Oct 27, 2023• 7 citations
Publisher
DOI
10.1007/s11071-023-09006-4

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The dual-scrambling scheme that combines position transformation and bit-plane transformation is a popular image encryption scheme. However, such schemes need more key information, and the encryption and decryption processes are complicated. In addition, the existing quantum image dual-scrambling schemes mainly deal with square images. In this paper, we propose a hybrid scrambling encryption scheme for multi-mode quantum image representation (MQIR) images based on random permutation, in which the H×W quantum image is represented in MQIR. A random number generator factor s uniquely associates one of the random permutations of integers from 1 to a positive integer, so as to hybrid scramble both the pixel position and the binarized position of each pixel value. Meanwhile, the quantum circuits and some examples of scrambling are given. Furthermore, various analyses of the performance of this scheme were conducted, including effectiveness, key space, and computational complexity. By modifying the random generation factor to construct multiple binary grayscale images, the simulated results on the IBM Quantum Cloud platform demonstrate that the proposed quantum image encryption scheme is effective. In comparison to existing quantum image dual scrambling schemes, it is both simple and effective, offering a large key space, lower computational complexity, and applicability to non-square quantum images.
In view of the limitations of existing image encryption technique and high security of quantum key distribution scheme, an image encryption algorithm based on six-state quantum key distribution scheme is proposed. On the basis of two groups of conjugate bases of four states scheme(BB84 protocol), another pair of rotating measuring bases are introduced to constitute six state base space; random binary key strings are generated with six-state scheme, then the key strings and image data are operated with XOR, and image data are replaced with the operation results. Experimental results and security analysis show that with the new algorithm key space increased, the brute force attack can be resisted; with lower relevancy of plaintext and cipher text, the chosenplaintext attack can be effectively resisted; the algorithm achieves better sensitivity and security.