Distributed Kerr Nonlinearity in a Coherent All-Optical Fiber-Ring Reservoir Computer

TL;DR

This paper explores the use of distributed Kerr nonlinearity in a passive coherent optical fiber-ring reservoir computer, demonstrating that optical nonlinearities enhance its computational capabilities for complex tasks.

Contribution

It provides the first detailed analysis of Kerr nonlinearity's role within a coherent optical reservoir computer, highlighting its importance for future all-optical computing systems.

Findings

Optical Kerr nonlinearity improves reservoir computing performance.

Nonlinear input mapping enhances task-solving ability.

Reservoir nonlinearities are crucial for advanced optical computing.

Abstract

We investigate, both numerically and experimentally, the usefulness of a distributed nonlinearity in a passive coherent photonic reservoir computer. This computing system is based on a passive coherent optical fiber-ring cavity in which part of the nonlinearities are realized by the Kerr nonlinearity. Linear coherent reservoirs can solve difficult tasks but are aided by nonlinear components in their input or output layer. Here, we compare the impact of nonlinear transformations of information in the reservoir input layer, its bulk - the fiber-ring cavity - and its readout layer. For the injection of data into the reservoir, we compare a linear input mapping to the nonlinear transfer function of a Mach Zehnder modulator. For the reservoir bulk, we quantify the impact of the optical Kerr effect. For the readout layer we compare a linear output to a quadratic output implemented by a photodiode. We find that optical nonlinearities in the reservoir itself, such as the optical Kerr nonlinearity studied in the present work, enhance the task solving capability of the reservoir. This suggests that such nonlinearities will play a key role in future coherent all-optical reservoir computers.