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Quantum annealing and the Schrödinger-Langevin-Kostin equation

We show, in the context of quantum combinatorial optimization, or quantum annealing, how the nonlinear Schrödinger-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.

preprint2008arXivOpen access
Diego de FalcoDario Tamascelli
quant-ph
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Diego de FalcoDario Tamascelli

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