Quantum Annealing and Quantum Fluctuation Effect in Frustrated Ising Systems

TL;DR

This paper reviews the implementation of quantum annealing and explores quantum fluctuation effects in frustrated Ising spin systems, highlighting its potential for solving optimization problems.

Contribution

It provides a review of quantum annealing implementation and demonstrates quantum fluctuation effects in frustrated Ising systems, offering insights into its application in optimization.

Findings

Quantum fluctuation effects influence frustrated Ising systems.

Quantum annealing can be implemented to solve optimization problems.

Quantum annealing differs from simulated annealing by decreasing quantum rather than thermal fluctuations.

Abstract

Quantum annealing method has been widely attracted attention in statistical physics and information science since it is expected to be a powerful method to obtain the best solution of optimization problem as well as simulated annealing. The quantum annealing method was incubated in quantum statistical physics. This is an alternative method of the simulated annealing which is well-adopted for many optimization problems. In the simulated annealing, we obtain a solution of optimization problem by decreasing temperature (thermal fluctuation) gradually. In the quantum annealing, in contrast, we decrease quantum field (quantum fluctuation) gradually and obtain a solution. In this paper we review how to implement quantum annealing and show some quantum fluctuation effects in frustrated Ising spin systems.