Quaternary Galois field adder based all-optical multivalued logic circuits

Galois field (GF) algebraic expressions have been found to be promising choices for reversible and quantum implementation of multivalued logic. For the first time to our knowledge, we developed GF(4) adder multivalued (four valued) logic circuits in an all-optical domain. The principle and possibili...

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Veröffentlicht in:Applied optics. Optical technology and biomedical optics 2009-08, Vol.48 (22), p.E35
Hauptverfasser: Chattopadhyay, Tanay, Taraphdar, Chinmoy, Roy, Jitendra Nath
Format: Artikel
Sprache:eng
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Zusammenfassung:Galois field (GF) algebraic expressions have been found to be promising choices for reversible and quantum implementation of multivalued logic. For the first time to our knowledge, we developed GF(4) adder multivalued (four valued) logic circuits in an all-optical domain. The principle and possibilities of an all-optical GF(4) adder circuit are described. The theoretical model is presented and verified through numerical simulation. The quaternary inverter, successor, clockwise cycle, and counterclockwise cycle gates are proposed with the help of the all-optical GF(4) adder circuit. In this scheme different quaternary logical states are represented by different polarized light. A terahertz optical asymmetric demultiplexer interferometric switch plays an important role in this scheme.
ISSN:2155-3165
DOI:10.1364/AO.48.000E35