English

Quantum annealing: An introduction and new developments

Disordered Systems and Neural Networks 2010-06-10 v1 Statistical Mechanics Quantum Physics

Abstract

Quantum annealing is a generic algorithm using quantum-mechanical fluctuations to search for the solution of an optimization problem. The present paper first reviews the fundamentals of quantum annealing and then reports on preliminary results for an alternative method. The review part includes the relationship of quantum annealing with classical simulated annealing. We next propose a novel quantum algorithm which might be available for hard optimization problems by using a classical-quantum mapping as well as the Jarzynski equality introduced in nonequilibrium statistical physics.

Keywords

Cite

@article{arxiv.1006.1696,
  title  = {Quantum annealing: An introduction and new developments},
  author = {Masayuki Ohzeki and Hidetoshi Nishimori},
  journal= {arXiv preprint arXiv:1006.1696},
  year   = {2010}
}

Comments

9 pages, 6 figures, to appear in a Special Issue on Foundations of Computational and Theoretical Nanoscience on Journal of Computational and Theoretical Nanoscience

R2 v1 2026-06-21T15:33:43.929Z