Quantized Vortices Mediated Annealing

TL;DR

This paper introduces a novel vortex-mediated annealing method that uses quantized vortex loops to efficiently find ground states in complex lattice models, outperforming traditional approaches in glassy systems.

Contribution

The paper presents a new vortex-mediated annealing technique that dynamically manipulates couplings to enhance ground state search in complex spin models.

Findings

QVMA effectively finds ground states in glassy systems

It outperforms traditional annealing methods in efficiency

Demonstrates physics-enhanced computational capabilities

Abstract

The complex matter-field lattice model is a ubiquitous and universal physics model that directly links to many universal spin models. However, finding the ground state of such a model for the most general interactions between the lattice sites is an NP-hard problem. The knowledge of the ground state is crucially essential for the range of applications from quantum annealing to predicting new materials and understanding the behaviour of spin glasses. Here we show how letting the quantised quasi-3D vortex loops pass through the system during the dissipative quench dynamics helps it find its ground state. Such quantized vortices mediated annealing (QVMA) is achieved by introducing and dynamically changing selected couplings between the lattice sites that either affect the local dimensionality of the medium or change the local mobility of the defects. Analysing the performance of QVMA on strongly glassy systems, we demonstrate that QVMA represents a highly efficient mode of physics enhanced computation.