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Controlled alternate quantum walk-based pseudo-random number generator and its application to quantum color image encryption

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  • EL-Latif, Ahmed A. Abd
  • Abd-El-Atty, Bassem
  • Venegas-Andraca, Salvador E.

Abstract

Pseudo-random number generator (PRNG) are a key component in the design of modern cryptographic mechanisms and are regarded as a backbone element of many modern cryptographic applications. However and in spite of their robustness, quantum computers could crack down PNGR-based systems. Quantum walks, a universal model of quantum computation, have nonlinear properties that make them a robust candidate to produce PRNG. In this paper, we utilize controlled alternate quantum walk (CAQW) to create PRNG. Moreover, we use the presented PRNG mechanism as a component of a new quantum color image encryption protocol. The quantum color image is encrypted via quantum C-Not (controlled-Not) gate which ruled by the key sequence generated from the PRNG mechanism. Simulation results and numerical analyses demonstrate that the suggested PRNG mechanism and its application to quantum color image encryption have high efficiency with high security.

Suggested Citation

  • EL-Latif, Ahmed A. Abd & Abd-El-Atty, Bassem & Venegas-Andraca, Salvador E., 2020. "Controlled alternate quantum walk-based pseudo-random number generator and its application to quantum color image encryption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    • Handle: RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437119321491
    DOI: 10.1016/j.physa.2019.123869
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    References listed on IDEAS

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    1. Oi-Yan Lui & Ching-Hung Yuen & Kwok-Wo Wong, 2013. "A Pseudo-Random Number Generator Employing Multiple Rényi Maps," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(11), pages 1-10.
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    Cited by:

    1. Mohamed Abd Elaziz & Esraa Osama Abo Zaid & Mohammed A. A. Al-qaness & Rehab Ali Ibrahim, 2021. "Automatic Superpixel-Based Clustering for Color Image Segmentation Using q-Generalized Pareto Distribution under Linear Normalization and Hunger Games Search," Mathematics, MDPI, vol. 9(19), pages 1-18, September.
    2. Haider, Muhammad Imran & Shah, Tariq & Ali, Asif & Shah, Dawood & Khalid, Ijaz, 2023. "An Innovative approach towards image encryption by using novel PRNs and S-boxes Modeling techniques," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 153-168.
    3. Pai Liu & Shihua Zhou & Wei Qi Yan, 2022. "A 3D Cuboid Image Encryption Algorithm Based on Controlled Alternate Quantum Walk of Message Coding," Mathematics, MDPI, vol. 10(23), pages 1-26, November.
    4. Ahmed A. Abd El-Latif & Janarthanan Ramadoss & Bassem Abd-El-Atty & Hany S. Khalifa & Fahimeh Nazarimehr, 2022. "A Novel Chaos-Based Cryptography Algorithm and Its Performance Analysis," Mathematics, MDPI, vol. 10(14), pages 1-22, July.
    5. Gao, Ya-jun & Xie, Hong-wei & Zhang, Jun & Zhang, Hao, 2022. "A novel quantum image encryption technique based on improved controlled alternated quantum walks and hyperchaotic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    6. Xianhua Song & Guanglong Chen & Ahmed A. Abd El-Latif, 2022. "Quantum Color Image Encryption Scheme Based on Geometric Transformation and Intensity Channel Diffusion," Mathematics, MDPI, vol. 10(17), pages 1-23, August.

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