Approaching the Ground State of a Quantum Spin Glass using a Zero-Temperature Quantum Monte Carlo

TL;DR

This paper demonstrates that zero-temperature quantum Monte Carlo can effectively find ground states of both classical and quantum spin glasses, especially at low transverse fields, improving simulation efficiency.

Contribution

It introduces a simulation approach that enhances ground state finding in quantum spin glasses using zero-temperature quantum Monte Carlo.

Findings

Quantum annealing aids in finding classical spin glass ground states.

The method is particularly efficient at low transverse fields.

It extends to simulating quantum spin glass ground states.

Abstract

Here we discuss the annealing behavior of an infinite-range $\pm J$ Ising spin glass in presence of a transverse field using a zero-temperature quantum Monte Carlo. Within the simulation scheme, we demonstrate that quantum annealing not only helps finding the ground state of a classical spin glass, but can also help simulating the ground state of a quantum spin glass, in particularly, when the transverse field is low, much more efficiently.