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Quantum color image compression and encryption algorithm based on Fibonacci transform

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Abstract

Under the generalized quantum image representation model, a new multiple color images compression and encryption algorithm is proposed by combining quantum Haar wavelet transform (HQWT) with iterative quantum Fibonacci transform (IQFT). Multiple RGB images stored with the generalized quantum image representation (GQIR) were first permutated by the HQWT, and the resulting images were compacted into a single hybrid image. Subsequently, the hybrid image is compressed under various compression ratios with a measurement matrix composed of Hadamard gates, and the intermediate result is scrambled with the generalized IQFT to produce a compressed image. Meanwhile, the gate level quantum circuits of hyper-chaotic Henon map were designed to generate optimal key sequences. The compressed image is exclusive ORed with a key image harvested from those key sequences to yield a ciphertext image. The decryption image is reconstructed from the ciphertext image with the NSL0 algorithm and some reversed operations. It is demonstrated that the proposed multi-image compression and encryption algorithm is feasible, secure, and efficient.

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Acknowledgements

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

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Authors and Affiliations

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

    Yan Ma

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

    Nan-Run Zhou

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  1. Yan Ma
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Correspondence to Nan-Run Zhou.

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Ma, Y., Zhou, NR. Quantum color image compression and encryption algorithm based on Fibonacci transform. Quantum Inf Process 22, 39 (2023). https://doi.org/10.1007/s11128-022-03749-6

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