Quantum Annealing and Quantum Fluctuation Effect in Frustrated Ising Systems
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 welladopted 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.
 Publication:

Interface Between Quantum Information and Statistical Physics. Edited by Nakahara Mikio et al. Published by World Scientific Publishing Co. Pte. Ltd
 Pub Date:
 September 2013
 DOI:
 10.1142/9789814425285_0011
 arXiv:
 arXiv:1202.5868
 Bibcode:
 2013iqis.conf..239T
 Keywords:

 Quantum annealing;
 Quantum fluctuation;
 Optimization problem;
 Transverse Ising model;
 Frustration;
 Condensed Matter  Disordered Systems and Neural Networks;
 Condensed Matter  Statistical Mechanics;
 Quantum Physics
 EPrint:
 21 pages, 10 figures, revised version will appear in proceedings of Kinki University Quantum Computing Series: "Symposium on Interface between Quantum Information and Statistical Physics"