Quantum Simulator Based on the Paraxial Wave Equation

TL;DR

This paper introduces a cost-effective quantum simulator using paraxial wave equations with optical fibers or metamaterials, enabling simulation of quantum dynamics and effects, and extending to many-body systems and quantum technologies.

Contribution

It presents a novel paraxial quantum simulation method that is accessible and extendable to complex quantum systems and technologies.

Findings

The method accurately simulates quantum dynamics.

It can be extended to many-body systems.

Potential applications in quantum computation and $ ext{PT}$-symmetric technologies.

Abstract

We propose a paraxial quantum simulator that requires only widely available optical fibers or metamaterials. Such a simulator would facilitate cost-effective quantum simulation without specialized techniques. We show theoretically that the method accurately simulates quantum dynamics and quantum effects for an example system, which invites extension of the method to many-body systems using nonlinear optical elements and implementation of the paraxial quantum simulator to extend access to quantum computation and prototype quantum parity-time reversal ($\mathcal{PT}$) symmetric technologies.