Emergent noise-aided logic through synchronization

TL;DR

This paper introduces a reconfigurable noise-assisted logic gate using coupled bistable systems, demonstrating all fundamental 2-input logic operations through synchronization states influenced by noise, coupling, and nonlinearity.

Contribution

It presents a novel dynamical scheme for noise-aided logic gates that can perform all basic 2-input logic functions, including XOR, via synchronization in coupled bistable systems.

Findings

Successfully demonstrated all six fundamental 2-input logic operations.

Identified optimal noise and coupling conditions for reliable logic functions.

Validated results through numerical simulations and circuit experiments.

Abstract

In this article, we present a dynamical scheme to obtain a reconfigurable noise-aided logic gate, that yields all six fundamental 2-input logic operations, including the XOR operation. The setup consists of two coupled bistable subsystems that are each driven by one subthreshold logic input signal, in the presence of a noise floor. The synchronization state of their outputs, robustly maps to 2-input logic operations of the driving signals, in an optimal window of noise and coupling strengths. Thus the interplay of noise, nonlinearity and coupling, leads to the emergence of logic operations embedded within the collective state of the coupled system. This idea is manifested using both numerical simulations and proof-of-principle circuit experiments. The regions in parameter space that yield reliable logic operations were characterized through a stringent measure of reliability, using both numerical and experimental data.