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Quaternary Galois field adder based all-optical multivalued logic circuits.

Tanay Chattopadhyay1, Chinmoy Taraphdar, Jitendra Nath Roy

  • 1Department of Physics, College of Engineering and Management, Kolaghat, P.O. KTPP Township, Purba Midnapur, 721171 West Bengal, India. tanay2222@rediffmail.com

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Researchers developed the first all-optical Galois Field (GF) adder for multivalued logic circuits. This breakthrough enables novel optical computing architectures using GF(4) logic, representing states with polarized light.

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Area of Science:

  • Optoelectronics
  • Quantum Computing
  • Digital Logic Design

Background:

  • Galois Field (GF) algebraic expressions are key for reversible and quantum implementations of multivalued logic.
  • Multivalued logic offers advantages over binary logic for complex computations.

Purpose of the Study:

  • To develop the first all-optical Galois Field (GF) adder for multivalued logic circuits.
  • To explore the potential of GF(4) logic in all-optical computing.

Main Methods:

  • Theoretical modeling and numerical simulation of an all-optical GF(4) adder circuit.
  • Utilizing polarized light to represent different quaternary logical states.
  • Employing a terahertz optical asymmetric demultiplexer interferometric switch.

Main Results:

  • Successfully designed and verified a theoretical model for an all-optical GF(4) adder.
  • Proposed novel quaternary logic gates: inverter, successor, clockwise cycle, and counterclockwise cycle.
  • Demonstrated the feasibility of all-optical implementation of GF(4) arithmetic.

Conclusions:

  • The all-optical GF(4) adder is a significant advancement for optical multivalued logic.
  • This work paves the way for future all-optical computing systems and advanced optical circuits.
  • Polarized light representation and specific optical switches are crucial for this implementation.