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    A new probabilistic deep learning method successfully attacks double random phase encryption by predicting plaintexts. This method also quantifies prediction reliability, enhancing optical cryptanalysis security.

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    Area of Science:

    • Computer Science
    • Cryptography
    • Machine Learning

    Background:

    • Double Random Phase Encryption (DRPE) is a widely used optical encryption technique.
    • Attacking DRPE is crucial for understanding and improving its security.
    • Deep learning methods have shown potential in cryptanalysis but often lack reliability assessment.

    Purpose of the Study:

    • To propose a modified probabilistic deep learning method for attacking DRPE.
    • To introduce uncertainty quantification to optical cryptanalysis for the first time.
    • To assess the reliability of deep learning predictions in cryptanalysis.

    Main Methods:

    • A modified probabilistic deep learning model was developed to learn the conditional distribution of plaintext.
    • The model was trained to predict plaintext and quantify the uncertainty associated with each pixel prediction.
    • Simulation experiments were conducted to validate the method's effectiveness.

    Main Results:

    • The proposed probabilistic model achieved high accuracy in predicting plaintexts, demonstrating successful cryptanalysis.
    • Uncertainty quantification provided pixel-level reliability information without requiring ground truth.
    • The method effectively identified unreliable predictions, mitigating risks associated with deep learning models.

    Conclusions:

    • The modified probabilistic deep learning method is effective for attacking DRPE.
    • Uncertainty quantification is a valuable addition to optical cryptanalysis, enhancing model reliability.
    • This work advances the security analysis of optical encryption techniques.