Quantum image encryption algorithm based on bit-plane permutation and sine logistic map
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Quantum image encryption algorithm based on bit-plane permutation and sine logistic map Xingbin Liu1
· Di Xiao1 · Cong Liu2
Received: 19 November 2019 / Accepted: 25 June 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Quantum cryptography improves efficiency and security of image content protection owing to the characteristics of qubits. In this paper, a novel quantum image encryption algorithm based on bit-plane permutation and sine logistic map is presented. The image to be encrypted is firstly represented with novel enhanced quantum representation model and then the quantum Arnold transform is used to scramble pixel positions. The bit-plane cross-exclusive OR and shift operations are designed to change the pixel values. The final ciphertext image is obtained through a diffusion process utilizing sine logistic map, which extremely enlarges key space. The quantum circuits of each procedure are given. Simulation results and theoretical analysis verify that the proposed quantum image scheme has good performance in the aspect of security and the computational complexity is superior to its classical counterpart. Keywords Information security · Bit-plane permutation · Quantum image encryption · Sine chaotification model · Quantum image representation
1 Introduction Quantum computing is a new model for performing high-speed mathematical and logical operations based on quantum mechanics of superposition and entanglement, which breaks through the bottleneck of classical computer in integer factoring [1], database searching [2], simulation of complex systems [3] and so on. With the wide application of quantum theories, quantum information processing has a dramatic development in recent years, especially in the field of quantum image processing [4–6]. Generally, the complexity of image processing algorithms is relatively high and the calculation is time-consuming. By utilizing the parallel characteristic of quantum
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Xingbin Liu [email protected]
1
College of Computer Science, Chongqing University, Chongqing 400044, China
2
Southwest Technology and Engineering Research Institute, Chongqing 40039, China 0123456789().: V,-vol
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computing, computation efficiency can be significantly improved. Images originated in some particular scenarios such as healthcare or military systems contains private information and need to be protected from unauthorized access [7]. Combining quantum computing and image encryption is a secure and effective approach to design the cryptosystems because of the quantum non-cloning theorem and uncertainty principle [8]. The primary task of quantum image encryption is to store the images into quantum computers, and then quantum encryption techniques can be exploited to process these images. For the convenience of subsequent image processing, a series of quantum image representation models utilizing parallel characteristic of quantum computing have been proposed such as Real Ket [9], normal arbitrary quantum superposition stat
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