A 2D Quantum Walk Simulation of Two-Particle Dynamics

TL;DR

This paper demonstrates a scalable 2D optical quantum walk on a lattice, enabling simulation of complex quantum phenomena like entanglement and particle interactions, using an optical fiber network over 12 steps and 169 positions.

Contribution

It introduces a flexible, scalable implementation of 2D quantum walks on a non-trivial graph structure with dynamic control capabilities.

Findings

Successfully realized a 12-step quantum walk over 169 positions.

Simulated entanglement creation in bipartite systems.

Explored effects of non-linearities and two-particle scattering.

Abstract

Multi-dimensional quantum walks can exhibit highly non-trivial topological structure, providing a powerful tool for simulating quantum information and transport systems. We present a flexible implementation of a 2D optical quantum walk on a lattice, demonstrating a scalable quantum walk on a non-trivial graph structure. We realized a coherent quantum walk over 12 steps and 169 positions using an optical fiber network. With our broad spectrum of quantum coins we were able to simulate the creation of entanglement in bipartite systems with conditioned interactions. Introducing dynamic control allowed for the investigation of effects such as strong non-linearities or two-particle scattering. Our results illustrate the potential of quantum walks as a route for simulating and understanding complex quantum systems.