English

Quantum annealing and the Schr\"odinger-Langevin-Kostin equation

Quantum Physics 2011-07-05 v1

Abstract

We show, in the context of quantum combinatorial optimization, or quantum annealing, how the nonlinear Schr\"odinger-Langevin-Kostin equation can dynamically drive the system toward its ground state. We illustrate, moreover, how a frictional force of Kostin type can prevent the appearance of genuinely quantum problems such as Bloch oscillations and Anderson localization which would hinder an exhaustive search.

Keywords

Cite

@article{arxiv.0812.0694,
  title  = {Quantum annealing and the Schr\"odinger-Langevin-Kostin equation},
  author = {Diego de Falco and Dario Tamascelli},
  journal= {arXiv preprint arXiv:0812.0694},
  year   = {2011}
}

Comments

5 pages, 4 figures. To appear on Physical Review A