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Encryption-decryption scheme in a single-pixel system based on polarization and Laguerre-Gaussian mode modulation.

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    This study introduces a novel optical encryption method using polarization and Laguerre-Gaussian (LG) modes in single-pixel imaging (SPI). The technique enhances optical cryptosystem security by overcoming SPI limitations and improving data complexity.

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    Area of Science:

    • Optics and Photonics
    • Information Security
    • Quantum Information Science

    Background:

    • Optical cryptosystems are vital for secure data transmission and storage.
    • Single-pixel imaging (SPI) offers a potential platform for optical encryption but faces challenges with object angular variations and plaintext vulnerability.
    • Existing SPI methods struggle with accurate image reconstruction due to positional inaccuracies and linear mapping vulnerabilities.

    Purpose of the Study:

    • To propose a novel encryption-decryption scheme for single-pixel systems.
    • To enhance the security and fidelity of optical information by integrating polarization and Laguerre-Gaussian (LG) mode modulation.
    • To address the limitations of SPI concerning object angular position variations and plaintext exposure.

    Main Methods:

    • Developed a single-pixel system utilizing polarization and LG mode modulation for encryption.
    • Employed LG modes for encrypting object angular position information due to their circular symmetry.
    • Utilized polarization parameters (depolarization, diattenuation, retardance) to represent object properties as plaintext.
    • Constructed joint keys by combining LG modes, object rotational states, and polarization modulations.

    Main Results:

    • Achieved characterization of sample polarization parameters with less than 4.2% error.
    • Demonstrated high-security encryption and high-fidelity decryption of optical properties like mask image, orientation, and retardance.
    • Successfully integrated pattern-angle-polarization joint keys for robust encryption.

    Conclusions:

    • The proposed scheme effectively enhances security and information complexity in optical cryptography.
    • The integration of polarization and LG modes offers a robust solution for secure optical information processing.
    • The findings provide valuable insights for advancements in optical communication and quantum information security.