Quantum annealing and the Schrödinger-Langevin-Kostin equation

Details Quantum annealing and the Schrödinger-Langevin-Kostin equation Quantum annealing and the Schrödinger-Langevin-Kostin equation

2008-12-03

arxiv.org/abs/0812.0694v1

Phys. Rev. A 79 (2009) 012315

Physics

Quantum Physics

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

Scientific paper

10.1103/PhysRevA.79.012315

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.

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