Quantum Annealing Effect on Entropic Slowing Down in Frustrated Decorated Bond System

TL;DR

This paper investigates how quantum annealing effectively finds ground states in frustrated decorated bond systems affected by entropic slowing down, using real-time Schrödinger dynamics to compare with thermal methods.

Contribution

It demonstrates the efficiency of quantum annealing over thermal annealing in frustrated systems and analyzes the underlying adiabatic mechanism.

Findings

Quantum annealing outperforms thermal annealing in finding ground states.

Real-time Schrödinger equation analysis confirms the efficiency of quantum annealing.

Adiabatic process explains the mechanism behind quantum annealing's success.

Abstract

We propose that the importance of the quantum annealing procedure to find the ground state of frustrated decorated bond systems where 'entropic slowing down' happens due to peculiar density of states. Here, we use the time dependent Schr\"odinger equation to analyze the real time dynamics of the process. It is found that the quantum annealing is very efficient comparing to the thermal annealing for searching the ground state of the systems. We analyze the mechanism of quantum annealing from a view point of adiabatic process.