Abstract

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.

© 2009 Optical Society of America

Ultra-fast and compact optical Galois field adder based on the LPhC structure and phase shift keying

Asghar Askarian, Fariborz Parandin, Nila Bagheri, and Fernando J. Velez
Appl. Opt. 63(8) 1939-1946 (2024)

All-optical half-adder/half-subtractor using terahertz optical asymmetric demultiplexer

Dilip Kumar Gayen, Tanay Chattopadhyay, Arunava Bhattacharyya, Saikat Basak, and Dipanti Dey
Appl. Opt. 53(36) 8400-8409 (2014)

Polarization encoded optical N-valued inverter

Tanay Chattopadhyay, Panchatapa Bhowmik, and Jitendra Nath Roy
J. Opt. Soc. Am. B 29(10) 2852-2860 (2012)

Optical High-Performance Computing—JOSA A and Applied Optics: Introduction

H. John Caulfield, Shlomi Dolev, and William M. J. Green
J. Opt. Soc. Am. A 26(8) OHPC1-OHPC2 (2009)

Integrated all-optical logic and arithmetic operations with the help of a TOAD-based interferometer device--alternative approach

Jitendra Nath Roy and Dilip Kumar Gayen
Appl. Opt. 46(22) 5304-5310 (2007)