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Updated: Jun 12, 2026

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Residue arithmetic processing utilizing optical Fredkin gate arrays.

M M Mirsalehi, J Shamir, H J Caulfield

    Applied Optics
    |May 22, 2010
    PubMed
    Summary
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    This study introduces an optical residue arithmetic processor using Fredkin gates and holographic memory. The architecture efficiently implements residue addition and multiplication with current optical technologies.

    Area of Science:

    • Optoelectronics
    • Computer Arithmetic
    • Holographic Data Storage

    Background:

    • Residue arithmetic offers advantages in high-speed computation.
    • Optical computing architectures can overcome electronic limitations.
    • Holographic memory provides high-density, page-oriented storage.

    Purpose of the Study:

    • To introduce a novel cascadable residue arithmetic processor.
    • To describe the implementation of residue functions and operations optically.
    • To analyze the resource requirements for residue addition and multiplication.

    Main Methods:

    • Utilizing optical Fredkin gate arrays for logic operations.
    • Employing page-oriented holographic memories for data storage.
    • Deriving analytic expressions for hardware resource estimation.

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    Main Results:

    • Analytic expressions derived for hologram and waveguide channel requirements.
    • Demonstrated feasibility for 16-bit residue addition and multiplication.
    • Architecture is compatible with state-of-the-art holography and integrated optics.

    Conclusions:

    • The proposed optical architecture is a viable approach for residue arithmetic processing.
    • This design leverages advanced optical technologies for computational tasks.
    • Efficient implementation of residue operations is achievable with this system.