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Optimal quantum image encryption algorithm with the QPSO-BP neural network-based pseudo random number generator

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Abstract

An optimal quantum image encryption scheme named QPSO-BP-PRNG is presented by integrating back propagation (BP) neural network, quantum particle swarm optimization (QPSO) algorithm, the chaotic map-based PRNG with quantum fractional Fourier transform (QFFrT) and double random-phase encoding (DRPE) techniques to improve the effects of traditional pseudo random number generator (PRNG) for image encryption algorithms. Firstly, to achieve the exceptional incipient parameters and shorten the training time of the BP neural network, the initial weights and the threshold values of the BP neural network are renovated by the QPSO algorithm. Subsequently, the optimized QPSO-BP neural network is adopted to train the sample sequences produced from the quantum logistic map-based PRNG, which eliminates chaotic periodicity due to the strong nonlinear variability of the neural network. Lastly, the new sequences yielded with the enhanced QPSO-BP-PRNG are involved in the encoding of phase angles and the scrambling operation of the encryption procedure. According to the simulation results, the error ratio of the QPSO-BP neural network is within 0.00008 after 1000 iterations, moreover, the proposed quantum image encryption scheme performs well in security as well as reconstruction quality of decryption image.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant no. 61861029), the Top Double 1000 Talent Programme of Jiangxi Province (Grant no. JXSQ2019201055), and the Innovation Special Foundation of Graduate Student of Jiangxi Province (Grant no. YC2022-B021).

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Authors and Affiliations

  1. Department of Computer Science and Technology, Nanchang University, Nanchang, 330031, China

    Jing-Yi Dai

  2. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, Jiangxi, China

    Nan-Run Zhou

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Correspondence to Nan-Run Zhou.

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Dai, JY., Zhou, NR. Optimal quantum image encryption algorithm with the QPSO-BP neural network-based pseudo random number generator. Quantum Inf Process 22, 318 (2023). https://doi.org/10.1007/s11128-023-04071-5

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