Explicit construction of single input - single output logic gates from three soliton solution of Manakov system

TL;DR

This paper demonstrates how single input logic gates like COPY, NOT, and ONE can be constructed using energy sharing collisions of three solitons in the Manakov system, offering a minimal and distinct approach from previous multi-soliton methods.

Contribution

It introduces a novel method for realizing logic gates through three-soliton collisions in the Manakov system, reducing the number of solitons needed compared to earlier approaches.

Findings

Successfully constructed COPY, NOT, and ONE gates using three soliton collisions.

Demonstrated state change of solitons during collisions for logic operations.

Provided a minimal soliton-based logic gate implementation.

Abstract

We construct single input logic gates using the energy sharing collisions of a minimal number of (three) bright optical solitons associated with the three soliton solution of the integrable Manakov system. As computation requires state changes to represent binary logic, here we make use of the state change of a particular soliton during its sequential collision with other two solitons for constructing single input gates. As a consequence, we clearly demonstrate the construction of various one-input logic gates such as COPY gate, NOT gate and ONE gate using energy sharing three soliton collision of Manakov system. This type of realization of logic gates just from a three soliton collision (pair-wise interaction) is clearly distinct from the earlier studies which require separate collisions of four solitons.